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High School Math Algebra Glencoe Algebra 2 Student Edition C2014

the dimension of the matrix that result from the multiplication shown.

the dimension of the matrix that result from the multiplication shown.

Glencoe Algebra 2 Student Edition C2014

Glencoe Algebra 2 Student Edition C2014

1st Edition

ISBN: 9780076639908

Author: McGraw-Hill Glencoe

Publisher: MCG

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Question

Chapter 3.6, Problem 54STP

To determine

To find : the dimension of the matrix that result from the multiplication shown.

Expert Solution & Answer

Answer to Problem 54STP

The final answer is option D) 4×1 .

Explanation of Solution

Given information : The given multiplication of matrices is

[abcdefghijkl][746]

From the given multiplication of matrices we get

[abcdefghijkl]4×3[746]3×1

Hence the dimension of the result of matrix multiplication will be 4×1 .

Chapter 3.6, Problem 53STP

Chapter 3.6, Problem 55SR

Chapter 3 Solutions

Glencoe Algebra 2 Student Edition C2014

Ch. 3.1 - Prob. 1E Ch. 3.1 - Prob. 2E Ch. 3.1 - Prob. 3E Ch. 3.1 - Prob. 4E Ch. 3.1 - Prob. 5E Ch. 3.1 - Prob. 6E Ch. 3.1 - Prob. 7E Ch. 3.1 - Prob. 8E Ch. 3.1 - Prob. 9E Ch. 3.1 - Prob. 10E

Ch. 3.1 - Prob. 1AGP Ch. 3.1 - Prob. 1BGP Ch. 3.1 - Prob. 2AGP Ch. 3.1 - Prob. 2BGP Ch. 3.1 - Prob. 3AGP Ch. 3.1 - Prob. 3BGP Ch. 3.1 - Prob. 4AGP Ch. 3.1 - Prob. 4BGP Ch. 3.1 - Prob. 4CGP Ch. 3.1 - Prob. 5AGP Ch. 3.1 - Prob. 5BGP Ch. 3.1 - Prob. 5CGP Ch. 3.1 - Prob. 6GP Ch. 3.1 - Prob. 1CYU Ch. 3.1 - Prob. 2CYU Ch. 3.1 - Prob. 3CYU Ch. 3.1 - Prob. 4CYU Ch. 3.1 - Prob. 5CYU Ch. 3.1 - Prob. 6CYU Ch. 3.1 - Prob. 7CYU Ch. 3.1 - Prob. 8CYU Ch. 3.1 - Prob. 9CYU Ch. 3.1 - Prob. 10CYU Ch. 3.1 - Prob. 11CYU Ch. 3.1 - Prob. 12CYU Ch. 3.1 - Prob. 13CYU Ch. 3.1 - Prob. 14CYU Ch. 3.1 - Prob. 15CYU Ch. 3.1 - Prob. 16CYU Ch. 3.1 - Prob. 17CYU Ch. 3.1 - Prob. 18CYU Ch. 3.1 - Prob. 19CYU Ch. 3.1 - Prob. 20CYU Ch. 3.1 - Prob. 21CYU Ch. 3.1 - Prob. 22CYU Ch. 3.1 - Prob. 23CYU Ch. 3.1 - Prob. 24CYU Ch. 3.1 - Prob. 25CYU Ch. 3.1 - Prob. 26PPS Ch. 3.1 - Prob. 27PPS Ch. 3.1 - Prob. 28PPS Ch. 3.1 - Prob. 29PPS Ch. 3.1 - Prob. 30PPS Ch. 3.1 - Prob. 31PPS Ch. 3.1 - Prob. 32PPS Ch. 3.1 - Prob. 33PPS Ch. 3.1 - Prob. 34PPS Ch. 3.1 - Prob. 35PPS Ch. 3.1 - Prob. 36PPS Ch. 3.1 - Prob. 37PPS Ch. 3.1 - Prob. 38PPS Ch. 3.1 - Prob. 39PPS Ch. 3.1 - Prob. 40PPS Ch. 3.1 - Prob. 41PPS Ch. 3.1 - Prob. 42PPS Ch. 3.1 - Prob. 43PPS Ch. 3.1 - Prob. 44PPS Ch. 3.1 - Prob. 45PPS Ch. 3.1 - Prob. 46PPS Ch. 3.1 - Prob. 47PPS Ch. 3.1 - Prob. 48PPS Ch. 3.1 - Prob. 49PPS Ch. 3.1 - Prob. 50PPS Ch. 3.1 - Prob. 51PPS Ch. 3.1 - Prob. 52PPS Ch. 3.1 - Prob. 53PPS Ch. 3.1 - Prob. 54PPS Ch. 3.1 - Prob. 55PPS Ch. 3.1 - Prob. 56PPS Ch. 3.1 - Prob. 57PPS Ch. 3.1 - Prob. 58PPS Ch. 3.1 - Prob. 59PPS Ch. 3.1 - Prob. 60PPS Ch. 3.1 - Prob. 61PPS Ch. 3.1 - Prob. 62PPS Ch. 3.1 - Prob. 63PPS Ch. 3.1 - Prob. 64PPS Ch. 3.1 - Prob. 65PPS Ch. 3.1 - Prob. 66PPS Ch. 3.1 - Prob. 67PPS Ch. 3.1 - Prob. 68PPS Ch. 3.1 - Prob. 69PPS Ch. 3.1 - Prob. 70PPS Ch. 3.1 - Prob. 71PPS Ch. 3.1 - Prob. 72PPS Ch. 3.1 - Prob. 73PPS Ch. 3.1 - Prob. 74PPS Ch. 3.1 - Prob. 75PPS Ch. 3.1 - Prob. 76HP Ch. 3.1 - Prob. 77HP Ch. 3.1 - Prob. 78HP Ch. 3.1 - Prob. 79HP Ch. 3.1 - Prob. 80HP Ch. 3.1 - Prob. 81STP Ch. 3.1 - Prob. 82STP Ch. 3.1 - Prob. 83STP Ch. 3.1 - Prob. 84STP Ch. 3.1 - Prob. 85SR Ch. 3.1 - Prob. 86SR Ch. 3.1 - Prob. 87SR Ch. 3.1 - Prob. 88SR Ch. 3.1 - Prob. 89SR Ch. 3.1 - Prob. 90SR Ch. 3.1 - Prob. 91SR Ch. 3.1 - Prob. 92SR Ch. 3.1 - Prob. 93SR Ch. 3.1 - Prob. 94SR Ch. 3.1 - Prob. 95S Ch. 3.1 - Prob. 96S Ch. 3.1 - Prob. 97S Ch. 3.2 - Prob. 1AGP Ch. 3.2 - Prob. 1BGP Ch. 3.2 - Prob. 2AGP Ch. 3.2 - Prob. 2BGP Ch. 3.2 - Prob. 3GP Ch. 3.2 - Prob. 4AGP Ch. 3.2 - Prob. 4BGP Ch. 3.2 - Prob. 1CYU Ch. 3.2 - Prob. 2CYU Ch. 3.2 - Prob. 3CYU Ch. 3.2 - Prob. 4CYU Ch. 3.2 - Prob. 5CYU Ch. 3.2 - Prob. 6CYU Ch. 3.2 - Prob. 7PPS Ch. 3.2 - Prob. 8PPS Ch. 3.2 - Prob. 9PPS Ch. 3.2 - Prob. 10PPS Ch. 3.2 - Prob. 11PPS Ch. 3.2 - Prob. 12PPS Ch. 3.2 - Prob. 13PPS Ch. 3.2 - Prob. 14PPS Ch. 3.2 - Prob. 15PPS Ch. 3.2 - Prob. 16PPS Ch. 3.2 - Prob. 17PPS Ch. 3.2 - Prob. 18PPS Ch. 3.2 - Prob. 19PPS Ch. 3.2 - Prob. 20PPS Ch. 3.2 - Prob. 21PPS Ch. 3.2 - Prob. 22PPS Ch. 3.2 - Prob. 23PPS Ch. 3.2 - Prob. 24PPS Ch. 3.2 - Prob. 25PPS Ch. 3.2 - Prob. 26PPS Ch. 3.2 - Prob. 27PPS Ch. 3.2 - Prob. 28PPS Ch. 3.2 - Prob. 29PPS Ch. 3.2 - Prob. 30PPS Ch. 3.2 - Prob. 31PPS Ch. 3.2 - Prob. 32PPS Ch. 3.2 - Prob. 33PPS Ch. 3.2 - Prob. 34PPS Ch. 3.2 - Prob. 35PPS Ch. 3.2 - Prob. 36PPS Ch. 3.2 - Prob. 37PPS Ch. 3.2 - Prob. 38PPS Ch. 3.2 - Prob. 39PPS Ch. 3.2 - Prob. 40PPS Ch. 3.2 - Prob. 41PPS Ch. 3.2 - Prob. 42PPS Ch. 3.2 - Prob. 43PPS Ch. 3.2 - Prob. 44PPS Ch. 3.2 - Prob. 45HP Ch. 3.2 - Prob. 46HP Ch. 3.2 - Prob. 47HP Ch. 3.2 - Prob. 48HP Ch. 3.2 - Prob. 49HP Ch. 3.2 - Prob. 50HP Ch. 3.2 - Prob. 51STP Ch. 3.2 - Prob. 52STP Ch. 3.2 - Prob. 53STP Ch. 3.2 - Prob. 54STP Ch. 3.2 - Prob. 55SR Ch. 3.2 - Prob. 56SR Ch. 3.2 - Prob. 57SR Ch. 3.2 - Prob. 58SR Ch. 3.2 - Prob. 59SR Ch. 3.2 - Prob. 60SR Ch. 3.2 - Prob. 61SR Ch. 3.2 - Prob. 62SR Ch. 3.2 - Prob. 63S Ch. 3.2 - Prob. 64S Ch. 3.2 - Prob. 65S Ch. 3.2 - Prob. 66S Ch. 3.2 - Prob. 67S Ch. 3.2 - Prob. 68S Ch. 3.3 - Prob. 1E Ch. 3.3 - Prob. 2E Ch. 3.3 - Prob. 3E Ch. 3.3 - Prob. 4E Ch. 3.3 - Prob. 5E Ch. 3.3 - Prob. 6E Ch. 3.3 - Prob. 7E Ch. 3.3 - Prob. 8E Ch. 3.3 - Prob. 9E Ch. 3.3 - Prob. 1AGP Ch. 3.3 - Prob. 1BGP Ch. 3.3 - Prob. 2AGP Ch. 3.3 - Prob. 2BGP Ch. 3.3 - Prob. 3GP Ch. 3.3 - Prob. 1CYU Ch. 3.3 - Prob. 2CYU Ch. 3.3 - Prob. 3CYU Ch. 3.3 - Prob. 4CYU Ch. 3.3 - Prob. 5CYU Ch. 3.3 - Prob. 6CYU Ch. 3.3 - Prob. 7CYU Ch. 3.3 - Prob. 8PPS Ch. 3.3 - Prob. 9PPS Ch. 3.3 - Prob. 10PPS Ch. 3.3 - Prob. 11PPS Ch. 3.3 - Prob. 12PPS Ch. 3.3 - Prob. 13PPS Ch. 3.3 - Prob. 14PPS Ch. 3.3 - Prob. 15PPS Ch. 3.3 - Prob. 16PPS Ch. 3.3 - Prob. 17PPS Ch. 3.3 - Prob. 18PPS Ch. 3.3 - Prob. 19PPS Ch. 3.3 - Prob. 20PPS Ch. 3.3 - Prob. 21PPS Ch. 3.3 - Prob. 22PPS Ch. 3.3 - Prob. 23PPS Ch. 3.3 - Prob. 24PPS Ch. 3.3 - Prob. 25PPS Ch. 3.3 - Prob. 26PPS Ch. 3.3 - Prob. 27PPS Ch. 3.3 - Prob. 28PPS Ch. 3.3 - Prob. 29HP Ch. 3.3 - Prob. 30HP Ch. 3.3 - Prob. 31HP Ch. 3.3 - Prob. 32HP Ch. 3.3 - Prob. 33HP Ch. 3.3 - Prob. 34STP Ch. 3.3 - Prob. 35STP Ch. 3.3 - Prob. 36STP Ch. 3.3 - Prob. 37STP Ch. 3.3 - Prob. 38SR Ch. 3.3 - Prob. 39SR Ch. 3.3 - Prob. 40SR Ch. 3.3 - Prob. 41SR Ch. 3.3 - Prob. 42SR Ch. 3.3 - Prob. 43SR Ch. 3.3 - Prob. 44SR Ch. 3.3 - Prob. 45SR Ch. 3.3 - Prob. 46SR Ch. 3.3 - Prob. 47SR Ch. 3.3 - Prob. 48SR Ch. 3.3 - Prob. 49SR Ch. 3.3 - Prob. 50S Ch. 3.3 - Prob. 51S Ch. 3.3 - Prob. 52S Ch. 3.3 - Prob. 53S Ch. 3.3 - Prob. 54S Ch. 3.3 - Prob. 55S Ch. 3.4 - Prob. 1AGP Ch. 3.4 - Prob. 1BGP Ch. 3.4 - Prob. 2AGP Ch. 3.4 - Prob. 2BGP Ch. 3.4 - Prob. 3GP Ch. 3.4 - Prob. 1CYU Ch. 3.4 - Prob. 2CYU Ch. 3.4 - Prob. 3CYU Ch. 3.4 - Prob. 4CYU Ch. 3.4 - Prob. 5CYU Ch. 3.4 - Prob. 6CYU Ch. 3.4 - Prob. 7CYU Ch. 3.4 - Prob. 8PPS Ch. 3.4 - Prob. 9PPS Ch. 3.4 - Prob. 10PPS Ch. 3.4 - Prob. 11PPS Ch. 3.4 - Prob. 12PPS Ch. 3.4 - Prob. 13PPS Ch. 3.4 - Prob. 14PPS Ch. 3.4 - Prob. 15PPS Ch. 3.4 - Prob. 16PPS Ch. 3.4 - Prob. 17PPS Ch. 3.4 - Prob. 18PPS Ch. 3.4 - Prob. 19PPS Ch. 3.4 - Prob. 20PPS Ch. 3.4 - Prob. 21PPS Ch. 3.4 - Prob. 22PPS Ch. 3.4 - Prob. 23PPS Ch. 3.4 - Prob. 24HP Ch. 3.4 - Prob. 25HP Ch. 3.4 - Prob. 26HP Ch. 3.4 - Prob. 27HP Ch. 3.4 - Prob. 28HP Ch. 3.4 - Prob. 29HP Ch. 3.4 - Prob. 30STP Ch. 3.4 - Prob. 31STP Ch. 3.4 - Prob. 32STP Ch. 3.4 - Prob. 33STP Ch. 3.4 - Prob. 34SR Ch. 3.4 - Prob. 35SR Ch. 3.4 - Prob. 36SR Ch. 3.4 - Prob. 37SR Ch. 3.4 - Prob. 38SR Ch. 3.4 - Prob. 39S Ch. 3.4 - Prob. 40S Ch. 3.4 - Prob. 41S Ch. 3.4 - Prob. 42S Ch. 3.4 - Prob. 1E Ch. 3.4 - Prob. 2E Ch. 3.4 - Prob. 3E Ch. 3.4 - Prob. 4E Ch. 3.4 - Prob. 5E Ch. 3.4 - Prob. 6E Ch. 3.4 - Prob. 7E Ch. 3.4 - Prob. 8E Ch. 3.4 - Prob. 9E Ch. 3.4 - Prob. 10E Ch. 3.4 - Prob. 11E Ch. 3.4 - Prob. 12E Ch. 3.4 - Prob. 13E Ch. 3.4 - Prob. 14E Ch. 3.4 - Prob. 15E Ch. 3.4 - Prob. 16E Ch. 3.4 - Prob. 17E Ch. 3.4 - Prob. 18E Ch. 3.4 - Prob. 19E Ch. 3.5 - Prob. 1E Ch. 3.5 - Prob. 2E Ch. 3.5 - Prob. 3E Ch. 3.5 - Prob. 4E Ch. 3.5 - Prob. 1GP Ch. 3.5 - Prob. 2AGP Ch. 3.5 - Prob. 2BGP Ch. 3.5 - Prob. 2CGP Ch. 3.5 - Prob. 3GP Ch. 3.5 - Prob. 4GP Ch. 3.5 - Prob. 5GP Ch. 3.5 - Prob. 1CYU Ch. 3.5 - Prob. 2CYU Ch. 3.5 - Prob. 3CYU Ch. 3.5 - Prob. 4CYU Ch. 3.5 - Prob. 5CYU Ch. 3.5 - Prob. 6CYU Ch. 3.5 - Prob. 7CYU Ch. 3.5 - Prob. 8CYU Ch. 3.5 - Prob. 9CYU Ch. 3.5 - Prob. 10CYU Ch. 3.5 - Prob. 11CYU Ch. 3.5 - Prob. 12CYU Ch. 3.5 - Prob. 13PPS Ch. 3.5 - Prob. 14PPS Ch. 3.5 - Prob. 15PPS Ch. 3.5 - Prob. 16PPS Ch. 3.5 - Prob. 17PPS Ch. 3.5 - Prob. 18PPS Ch. 3.5 - Prob. 19PPS Ch. 3.5 - Prob. 20PPS Ch. 3.5 - Prob. 21PPS Ch. 3.5 - Prob. 22PPS Ch. 3.5 - Prob. 23PPS Ch. 3.5 - Prob. 24PPS Ch. 3.5 - Prob. 25PPS Ch. 3.5 - Prob. 26PPS Ch. 3.5 - Prob. 27PPS Ch. 3.5 - Prob. 28PPS Ch. 3.5 - Prob. 29PPS Ch. 3.5 - Prob. 30PPS Ch. 3.5 - Prob. 31HP Ch. 3.5 - Prob. 32HP Ch. 3.5 - Prob. 33HP Ch. 3.5 - Prob. 34HP Ch. 3.5 - Prob. 35HP Ch. 3.5 - Prob. 36HP Ch. 3.5 - Prob. 37STP Ch. 3.5 - Prob. 38STP Ch. 3.5 - Prob. 39STP Ch. 3.5 - Prob. 40STP Ch. 3.5 - Prob. 41SR Ch. 3.5 - Prob. 42SR Ch. 3.5 - Prob. 43SR Ch. 3.5 - Prob. 44SR Ch. 3.5 - Prob. 45SR Ch. 3.5 - Prob. 46SR Ch. 3.5 - Prob. 47SR Ch. 3.5 - Prob. 48SR Ch. 3.5 - Prob. 49SR Ch. 3.5 - Prob. 50S Ch. 3.5 - Prob. 51S Ch. 3.5 - Prob. 52S Ch. 3.6 - Prob. 1AGP Ch. 3.6 - Prob. 1BGP Ch. 3.6 - Prob. 2GP Ch. 3.6 - Prob. 3GP Ch. 3.6 - Prob. 4GP Ch. 3.6 - Prob. 5GP Ch. 3.6 - Prob. 1CYU Ch. 3.6 - Prob. 2CYU Ch. 3.6 - Prob. 3CYU Ch. 3.6 - Prob. 4CYU Ch. 3.6 - Prob. 5CYU Ch. 3.6 - Prob. 6CYU Ch. 3.6 - Prob. 7CYU Ch. 3.6 - Prob. 8CYU Ch. 3.6 - Prob. 9CYU Ch. 3.6 - Prob. 10CYU Ch. 3.6 - Prob. 11CYU Ch. 3.6 - Prob. 12CYU Ch. 3.6 - Prob. 13CYU Ch. 3.6 - Prob. 14CYU Ch. 3.6 - Prob. 15PPS Ch. 3.6 - Prob. 16PPS Ch. 3.6 - Prob. 17PPS Ch. 3.6 - Prob. 18PPS Ch. 3.6 - Prob. 19PPS Ch. 3.6 - Prob. 20PPS Ch. 3.6 - Prob. 21PPS Ch. 3.6 - Prob. 22PPS Ch. 3.6 - Prob. 23PPS Ch. 3.6 - Prob. 24PPS Ch. 3.6 - Prob. 25PPS Ch. 3.6 - Prob. 26PPS Ch. 3.6 - Prob. 27PPS Ch. 3.6 - Prob. 28PPS Ch. 3.6 - Prob. 29PPS Ch. 3.6 - Prob. 30PPS Ch. 3.6 - Prob. 31PPS Ch. 3.6 - Prob. 32PPS Ch. 3.6 - Prob. 33PPS Ch. 3.6 - Prob. 34PPS Ch. 3.6 - Prob. 35PPS Ch. 3.6 - Prob. 36PPS Ch. 3.6 - Prob. 37PPS Ch. 3.6 - Prob. 38PPS Ch. 3.6 - Prob. 39PPS Ch. 3.6 - Prob. 40PPS Ch. 3.6 - Prob. 41PPS Ch. 3.6 - Prob. 42PPS Ch. 3.6 - Prob. 43PPS Ch. 3.6 - Prob. 44PPS Ch. 3.6 - Prob. 45PPS Ch. 3.6 - Prob. 46HP Ch. 3.6 - Prob. 47HP Ch. 3.6 - Prob. 48HP Ch. 3.6 - Prob. 49HP Ch. 3.6 - Prob. 50HP Ch. 3.6 - Prob. 51STP Ch. 3.6 - Prob. 52STP Ch. 3.6 - Prob. 53STP Ch. 3.6 - Prob. 54STP Ch. 3.6 - Prob. 55SR Ch. 3.6 - Prob. 56SR Ch. 3.6 - Prob. 57SR Ch. 3.6 - Prob. 58SR Ch. 3.6 - Prob. 59SR Ch. 3.6 - Prob. 60SR Ch. 3.6 - Prob. 61SR Ch. 3.6 - Prob. 62SR Ch. 3.6 - Prob. 63S Ch. 3.6 - Prob. 64S Ch. 3.6 - Prob. 65S Ch. 3.6 - Prob. 1E Ch. 3.6 - Prob. 2E Ch. 3.6 - Prob. 3E Ch. 3.6 - Prob. 4E Ch. 3.6 - Prob. 5E Ch. 3.6 - Prob. 6E Ch. 3.6 - Prob. 7E Ch. 3.6 - Prob. 8E Ch. 3.6 - Prob. 9E Ch. 3.6 - Prob. 10E Ch. 3.6 - Prob. 11E Ch. 3.6 - Prob. 12E Ch. 3.6 - Prob. 13E Ch. 3.6 - Prob. 14E Ch. 3.7 - Prob. 1AGP Ch. 3.7 - Prob. 1BGP Ch. 3.7 - Prob. 2AGP Ch. 3.7 - Prob. 2BGP Ch. 3.7 - Prob. 3GP Ch. 3.7 - Prob. 4AGP Ch. 3.7 - Prob. 4BGP Ch. 3.7 - Prob. 5AGP Ch. 3.7 - Prob. 5BGP Ch. 3.7 - Prob. 1CYU Ch. 3.7 - Prob. 2CYU Ch. 3.7 - Prob. 3CYU Ch. 3.7 - Prob. 4CYU Ch. 3.7 - Prob. 5CYU Ch. 3.7 - Prob. 6CYU Ch. 3.7 - Prob. 7CYU Ch. 3.7 - Prob. 8CYU Ch. 3.7 - Prob. 9CYU Ch. 3.7 - Prob. 10CYU Ch. 3.7 - Prob. 11CYU Ch. 3.7 - Prob. 12CYU Ch. 3.7 - Prob. 13CYU Ch. 3.7 - Prob. 14CYU Ch. 3.7 - Prob. 15CYU Ch. 3.7 - Prob. 16CYU Ch. 3.7 - Prob. 17CYU Ch. 3.7 - Prob. 18CYU Ch. 3.7 - Prob. 19CYU Ch. 3.7 - Prob. 20CYU Ch. 3.7 - Prob. 21CYU Ch. 3.7 - Prob. 22CYU Ch. 3.7 - Prob. 23CYU Ch. 3.7 - Prob. 24CYU Ch. 3.7 - Prob. 25CYU Ch. 3.7 - Prob. 26PPS Ch. 3.7 - Prob. 27PPS Ch. 3.7 - Prob. 28PPS Ch. 3.7 - Prob. 29PPS Ch. 3.7 - Prob. 30PPS Ch. 3.7 - Prob. 31PPS Ch. 3.7 - Prob. 32PPS Ch. 3.7 - Prob. 33PPS Ch. 3.7 - Prob. 34PPS Ch. 3.7 - Prob. 35PPS Ch. 3.7 - Prob. 36PPS Ch. 3.7 - Prob. 37PPS Ch. 3.7 - Prob. 38PPS Ch. 3.7 - Prob. 39PPS Ch. 3.7 - Prob. 40PPS Ch. 3.7 - Prob. 41PPS Ch. 3.7 - Prob. 42PPS Ch. 3.7 - Prob. 43PPS Ch. 3.7 - Prob. 44PPS Ch. 3.7 - Prob. 45PPS Ch. 3.7 - Prob. 46PPS Ch. 3.7 - Prob. 47PPS Ch. 3.7 - Prob. 48PPS Ch. 3.7 - Prob. 49PPS Ch. 3.7 - Prob. 50PPS Ch. 3.7 - Prob. 51PPS Ch. 3.7 - Prob. 52PPS Ch. 3.7 - Prob. 53PPS Ch. 3.7 - Prob. 54PPS Ch. 3.7 - Prob. 55PPS Ch. 3.7 - Prob. 56HP Ch. 3.7 - Prob. 57HP Ch. 3.7 - Prob. 58HP Ch. 3.7 - Prob. 59HP Ch. 3.7 - Prob. 60HP Ch. 3.7 - Prob. 61HP Ch. 3.7 - Prob. 62STP Ch. 3.7 - Prob. 63STP Ch. 3.7 - Prob. 64STP Ch. 3.7 - Prob. 65STP Ch. 3.7 - Prob. 66SR Ch. 3.7 - Prob. 67SR Ch. 3.7 - Prob. 68SR Ch. 3.7 - Prob. 69SR Ch. 3.7 - Prob. 70SR Ch. 3.7 - Prob. 71SR Ch. 3.7 - Prob. 72SR Ch. 3.7 - Prob. 73S Ch. 3.7 - Prob. 74S Ch. 3.7 - Prob. 75S Ch. 3.8 - Prob. 1GP Ch. 3.8 - Prob. 2AGP Ch. 3.8 - Prob. 2BGP Ch. 3.8 - Prob. 3GP Ch. 3.8 - Prob. 1CYU Ch. 3.8 - Prob. 2CYU Ch. 3.8 - Prob. 3CYU Ch. 3.8 - Prob. 4CYU Ch. 3.8 - Prob. 5CYU Ch. 3.8 - Prob. 6CYU Ch. 3.8 - Prob. 7CYU Ch. 3.8 - Prob. 8CYU Ch. 3.8 - Prob. 9CYU Ch. 3.8 - Prob. 10CYU Ch. 3.8 - Prob. 11CYU Ch. 3.8 - Prob. 12CYU Ch. 3.8 - Prob. 13PPS Ch. 3.8 - Prob. 14PPS Ch. 3.8 - Prob. 15PPS Ch. 3.8 - Prob. 16PPS Ch. 3.8 - Prob. 17PPS Ch. 3.8 - Prob. 18PPS Ch. 3.8 - Prob. 19PPS Ch. 3.8 - Prob. 20PPS Ch. 3.8 - Prob. 21PPS Ch. 3.8 - Prob. 22PPS Ch. 3.8 - Prob. 23PPS Ch. 3.8 - Prob. 24PPS Ch. 3.8 - Prob. 25PPS Ch. 3.8 - Prob. 26PPS Ch. 3.8 - Prob. 27PPS Ch. 3.8 - Prob. 28PPS Ch. 3.8 - Prob. 29PPS Ch. 3.8 - Prob. 30PPS Ch. 3.8 - Prob. 31PPS Ch. 3.8 - Prob. 32PPS Ch. 3.8 - Prob. 33PPS Ch. 3.8 - Prob. 34PPS Ch. 3.8 - Prob. 35PPS Ch. 3.8 - Prob. 36PPS Ch. 3.8 - Prob. 37PPS Ch. 3.8 - Prob. 38HP Ch. 3.8 - Prob. 39HP Ch. 3.8 - Prob. 40HP Ch. 3.8 - Prob. 41HP Ch. 3.8 - Prob. 42HP Ch. 3.8 - Prob. 43STP Ch. 3.8 - Prob. 44STP Ch. 3.8 - Prob. 45STP Ch. 3.8 - Prob. 46STP Ch. 3.8 - Prob. 47SR Ch. 3.8 - Prob. 48SR Ch. 3.8 - Prob. 49SR Ch. 3.8 - Prob. 50SR Ch. 3.8 - Prob. 51SR Ch. 3.8 - Prob. 52SR Ch. 3.8 - Prob. 53SR Ch. 3.8 - Prob. 54S Ch. 3.8 - Prob. 55S Ch. 3.8 - Prob. 56S Ch. 3.8 - Prob. 1E Ch. 3.8 - Prob. 2E Ch. 3.8 - Prob. 3E Ch. 3.8 - Prob. 4E Ch. 3.8 - Prob. 5E Ch. 3.8 - Prob. 6E Ch. 3 - Prob. 1QC Ch. 3 - Prob. 2QC Ch. 3 - Prob. 3QC Ch. 3 - Prob. 4QC Ch. 3 - Prob. 5QC Ch. 3 - Prob. 6QC Ch. 3 - Prob. 7QC Ch. 3 - Prob. 8QC Ch. 3 - Prob. 9QC Ch. 3 - Prob. 10QC Ch. 3 - Prob. 11QC Ch. 3 - Prob. 12QC Ch. 3 - Prob. 13QC Ch. 3 - Prob. 14QC Ch. 3 - Prob. 1SGR Ch. 3 - Prob. 2SGR Ch. 3 - Prob. 3SGR Ch. 3 - Prob. 4SGR Ch. 3 - Prob. 5SGR Ch. 3 - Prob. 6SGR Ch. 3 - Prob. 7SGR Ch. 3 - Prob. 8SGR Ch. 3 - Prob. 9SGR Ch. 3 - Prob. 10SGR Ch. 3 - Prob. 11SGR Ch. 3 - Prob. 12SGR Ch. 3 - Prob. 13SGR Ch. 3 - Prob. 14SGR Ch. 3 - Prob. 15SGR Ch. 3 - Prob. 16SGR Ch. 3 - Prob. 17SGR Ch. 3 - Prob. 18SGR Ch. 3 - Prob. 19SGR Ch. 3 - Prob. 20SGR Ch. 3 - Prob. 21SGR Ch. 3 - Prob. 22SGR Ch. 3 - Prob. 23SGR Ch. 3 - Prob. 24SGR Ch. 3 - Prob. 25SGR Ch. 3 - Prob. 26SGR Ch. 3 - Prob. 27SGR Ch. 3 - Prob. 28SGR Ch. 3 - Prob. 29SGR Ch. 3 - Prob. 30SGR Ch. 3 - Prob. 31SGR Ch. 3 - Prob. 32SGR Ch. 3 - Prob. 33SGR Ch. 3 - Prob. 34SGR Ch. 3 - Prob. 35SGR Ch. 3 - Prob. 36SGR Ch. 3 - Prob. 37SGR Ch. 3 - Prob. 38SGR Ch. 3 - Prob. 39SGR Ch. 3 - Prob. 40SGR Ch. 3 - Prob. 41SGR Ch. 3 - Prob. 42SGR Ch. 3 - Prob. 43SGR Ch. 3 - Prob. 44SGR Ch. 3 - Prob. 45SGR Ch. 3 - Prob. 46SGR Ch. 3 - Prob. 47SGR Ch. 3 - Prob. 48SGR Ch. 3 - Prob. 1PT Ch. 3 - Prob. 2PT Ch. 3 - Prob. 3PT Ch. 3 - Prob. 4PT Ch. 3 - Prob. 5PT Ch. 3 - Prob. 6PT Ch. 3 - Prob. 7PT Ch. 3 - Prob. 8PT Ch. 3 - Prob. 9PT Ch. 3 - Prob. 10PT Ch. 3 - Prob. 11PT Ch. 3 - Prob. 12PT Ch. 3 - Prob. 13PT Ch. 3 - Prob. 14PT Ch. 3 - Prob. 15PT Ch. 3 - Prob. 16PT Ch. 3 - Prob. 17PT Ch. 3 - Prob. 18PT Ch. 3 - Prob. 19PT Ch. 3 - Prob. 20PT Ch. 3 - Prob. 21PT Ch. 3 - Prob. 22PT Ch. 3 - Prob. 1E Ch. 3 - Prob. 2E Ch. 3 - Prob. 3E Ch. 3 - Prob. 4E Ch. 3 - Prob. 5E Ch. 3 - Prob. 6E Ch. 3 - Prob. 7E Ch. 3 - Prob. 8E Ch. 3 - Prob. 1STP Ch. 3 - Prob. 2STP Ch. 3 - Prob. 3STP Ch. 3 - Prob. 4STP Ch. 3 - Prob. 5STP Ch. 3 - Prob. 6STP Ch. 3 - Prob. 7STP Ch. 3 - Prob. 8STP Ch. 3 - Prob. 9STP Ch. 3 - Prob. 10STP Ch. 3 - Prob. 11STP Ch. 3 - Prob. 12STP Ch. 3 - Prob. 13STP

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Matrix Factorization - Numberphile; Author: Numberphile;https://www.youtube.com/watch?v=wTUSz-HSaBg;License: Standard YouTube License, CC-BY