High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
15th Edition
ISBN: 9780133281163
Author: Prentice Hall
Publisher: Prentice Hall
Expert Solution & Answer
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Chapter 12.4, Problem 51PPSE
Solution

To find: To solve the matrix equation.

  X=[3258]

Given information:

Given,matrix equation is:

  2[2001]+[0354]X+[0354]=[19271024]

Calculation:

Simplifying the equation:

  2[2001]+[0354]X=[19271024][0354][4002]+[0354]X=[1924520][0354]X=[1924520][4002][0354]X=[1524522]

Multiplying both sides by the inverse of the matrix on the left gives the required solution.

The determinant of the coefficent matrix is given by:

  D=(0)(4)(3)(5)D=0+15D=15

Since the determinant is not 0, the inverse exists.

The inverse of a 2X2 matrix [abcd] is 1D[dbca] .

Plugging the values, the inverse matrix is given by:

  115[4350]=[4153155150]

Multiplying both sides of the equation by the inverse:

   4 15 3 15 5 15 0 0 3 5 4 X= 4 15 3 15 5 15 0 15 24 5 22

   4 15 0 + 3 15 5 4 15 3 + 3 15 4 5 15 0 + 0 5 5 15 3 + 0 4 X= 4 15 15 + 3 15 5 4 15 24 + 3 15 22 5 15 15 + 0 5 5 15 24 + 0 22

   1 0 0 1 X= 3 2 5 8 X= 3 2 5 8

Conclusion:

  X=[3258]

Chapter 12 Solutions

High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11

Ch. 12.1 - Prob. 11PPSECh. 12.1 - Prob. 12PPSECh. 12.1 - Prob. 13PPSECh. 12.1 - Prob. 14PPSECh. 12.1 - Prob. 15PPSECh. 12.1 - Prob. 16PPSECh. 12.1 - Prob. 17PPSECh. 12.1 - Prob. 18PPSECh. 12.1 - Prob. 19PPSECh. 12.1 - Prob. 20PPSECh. 12.1 - Prob. 21PPSECh. 12.1 - Prob. 22PPSECh. 12.1 - Prob. 23PPSECh. 12.1 - Prob. 24PPSECh. 12.1 - Prob. 25PPSECh. 12.1 - Prob. 26PPSECh. 12.1 - Prob. 27PPSECh. 12.1 - Prob. 28PPSECh. 12.1 - Prob. 29PPSECh. 12.1 - Prob. 30PPSECh. 12.1 - Prob. 31PPSECh. 12.1 - Prob. 32PPSECh. 12.1 - Prob. 33PPSECh. 12.1 - Prob. 34PPSECh. 12.1 - Prob. 35PPSECh. 12.1 - Prob. 36PPSECh. 12.1 - Prob. 37PPSECh. 12.1 - Prob. 38PPSECh. 12.1 - Prob. 39PPSECh. 12.1 - Prob. 40PPSECh. 12.1 - Prob. 41PPSECh. 12.1 - Prob. 42PPSECh. 12.1 - Prob. 43PPSECh. 12.1 - Prob. 44PPSECh. 12.1 - Prob. 45PPSECh. 12.1 - Prob. 1ECh. 12.1 - Prob. 2ECh. 12.1 - Prob. 3ECh. 12.1 - Prob. 4ECh. 12.1 - Prob. 5ECh. 12.1 - Prob. 6ECh. 12.2 - Prob. 1LCCh. 12.2 - Prob. 2LCCh. 12.2 - Prob. 3LCCh. 12.2 - Prob. 4LCCh. 12.2 - Prob. 5LCCh. 12.2 - Prob. 6LCCh. 12.2 - Prob. 7PPSECh. 12.2 - Prob. 8PPSECh. 12.2 - Prob. 9PPSECh. 12.2 - Prob. 10PPSECh. 12.2 - Prob. 11PPSECh. 12.2 - Prob. 12PPSECh. 12.2 - Prob. 13PPSECh. 12.2 - Prob. 14PPSECh. 12.2 - Prob. 15PPSECh. 12.2 - Prob. 16PPSECh. 12.2 - Prob. 17PPSECh. 12.2 - Prob. 18PPSECh. 12.2 - Prob. 19PPSECh. 12.2 - Prob. 20PPSECh. 12.2 - Prob. 21PPSECh. 12.2 - Prob. 22PPSECh. 12.2 - Prob. 23PPSECh. 12.2 - Prob. 24PPSECh. 12.2 - Prob. 25PPSECh. 12.2 - Prob. 26PPSECh. 12.2 - Prob. 27PPSECh. 12.2 - Prob. 28PPSECh. 12.2 - Prob. 29PPSECh. 12.2 - Prob. 30PPSECh. 12.2 - Prob. 31PPSECh. 12.2 - Prob. 32PPSECh. 12.2 - Prob. 33PPSECh. 12.2 - Prob. 34PPSECh. 12.2 - Prob. 35PPSECh. 12.2 - Prob. 36PPSECh. 12.2 - Prob. 37PPSECh. 12.2 - Prob. 38PPSECh. 12.2 - Prob. 39PPSECh. 12.2 - Prob. 40PPSECh. 12.2 - Prob. 41PPSECh. 12.2 - Prob. 42PPSECh. 12.2 - Prob. 43PPSECh. 12.2 - Prob. 44PPSECh. 12.2 - Prob. 45PPSECh. 12.2 - Prob. 46PPSECh. 12.2 - Prob. 47PPSECh. 12.2 - Prob. 48PPSECh. 12.2 - Prob. 1ECh. 12.2 - Prob. 2ECh. 12.2 - Prob. 3ECh. 12.2 - Prob. 4ECh. 12.2 - Prob. 5ECh. 12.2 - Prob. 6ECh. 12.2 - Prob. 7ECh. 12.2 - Prob. 8ECh. 12.2 - Prob. 9ECh. 12.2 - Prob. 10ECh. 12.3 - Prob. 1LCCh. 12.3 - Prob. 2LCCh. 12.3 - Prob. 3LCCh. 12.3 - Prob. 4LCCh. 12.3 - Prob. 5LCCh. 12.3 - Prob. 6LCCh. 12.3 - Prob. 7PPSECh. 12.3 - Prob. 8PPSECh. 12.3 - Prob. 9PPSECh. 12.3 - Prob. 10PPSECh. 12.3 - Prob. 11PPSECh. 12.3 - Prob. 12PPSECh. 12.3 - Prob. 13PPSECh. 12.3 - Prob. 14PPSECh. 12.3 - Prob. 15PPSECh. 12.3 - Prob. 16PPSECh. 12.3 - Prob. 17PPSECh. 12.3 - Prob. 18PPSECh. 12.3 - Prob. 19PPSECh. 12.3 - Prob. 20PPSECh. 12.3 - Prob. 21PPSECh. 12.3 - Prob. 22PPSECh. 12.3 - Prob. 23PPSECh. 12.3 - Prob. 24PPSECh. 12.3 - Prob. 25PPSECh. 12.3 - Prob. 26PPSECh. 12.3 - Prob. 27PPSECh. 12.3 - Prob. 28PPSECh. 12.3 - Prob. 29PPSECh. 12.3 - Prob. 30PPSECh. 12.3 - Prob. 31PPSECh. 12.3 - Prob. 32PPSECh. 12.3 - Prob. 33PPSECh. 12.3 - Prob. 34PPSECh. 12.3 - Prob. 35PPSECh. 12.3 - Prob. 36PPSECh. 12.3 - Prob. 37PPSECh. 12.3 - Prob. 38PPSECh. 12.3 - Prob. 39PPSECh. 12.3 - Prob. 40PPSECh. 12.3 - Prob. 41PPSECh. 12.3 - Prob. 42PPSECh. 12.3 - Prob. 43PPSECh. 12.3 - Prob. 44PPSECh. 12.3 - Prob. 45PPSECh. 12.3 - Prob. 46PPSECh. 12.3 - Prob. 47PPSECh. 12.3 - Prob. 48PPSECh. 12.3 - Prob. 49PPSECh. 12.3 - Prob. 50PPSECh. 12.3 - Prob. 51PPSECh. 12.3 - Prob. 52PPSECh. 12.3 - Prob. 53PPSECh. 12.3 - Prob. 54PPSECh. 12.3 - Prob. 55PPSECh. 12.3 - Prob. 56PPSECh. 12.3 - Prob. 57PPSECh. 12.3 - Prob. 58PPSECh. 12.3 - Prob. 59PPSECh. 12.3 - Prob. 60PPSECh. 12.3 - Prob. 61PPSECh. 12.3 - Prob. 62PPSECh. 12.3 - Prob. 63PPSECh. 12.3 - Prob. 64PPSECh. 12.3 - Prob. 65PPSECh. 12.3 - Prob. 66PPSECh. 12.3 - Prob. 67PPSECh. 12.3 - Prob. 68PPSECh. 12.3 - Prob. 69PPSECh. 12.3 - Prob. 70PPSECh. 12.3 - Prob. 71PPSECh. 12.3 - Prob. 72PPSECh. 12.3 - Prob. 73PPSECh. 12.3 - Prob. 74PPSECh. 12.3 - Prob. 75PPSECh. 12.3 - Prob. 76PPSECh. 12.4 - Prob. 1LCCh. 12.4 - Prob. 2LCCh. 12.4 - Prob. 3LCCh. 12.4 - Prob. 4LCCh. 12.4 - Prob. 5LCCh. 12.4 - Prob. 6LCCh. 12.4 - Prob. 7PPSECh. 12.4 - Prob. 8PPSECh. 12.4 - Prob. 9PPSECh. 12.4 - Prob. 10PPSECh. 12.4 - Prob. 11PPSECh. 12.4 - Prob. 12PPSECh. 12.4 - Prob. 13PPSECh. 12.4 - Prob. 14PPSECh. 12.4 - Prob. 15PPSECh. 12.4 - Prob. 16PPSECh. 12.4 - Prob. 17PPSECh. 12.4 - Prob. 18PPSECh. 12.4 - Prob. 19PPSECh. 12.4 - Prob. 20PPSECh. 12.4 - Prob. 21PPSECh. 12.4 - Prob. 22PPSECh. 12.4 - Prob. 23PPSECh. 12.4 - Prob. 24PPSECh. 12.4 - Prob. 25PPSECh. 12.4 - Prob. 26PPSECh. 12.4 - Prob. 27PPSECh. 12.4 - Prob. 28PPSECh. 12.4 - Prob. 29PPSECh. 12.4 - Prob. 30PPSECh. 12.4 - Prob. 31PPSECh. 12.4 - Prob. 32PPSECh. 12.4 - Prob. 33PPSECh. 12.4 - Prob. 34PPSECh. 12.4 - Prob. 35PPSECh. 12.4 - Prob. 36PPSECh. 12.4 - Prob. 37PPSECh. 12.4 - Prob. 38PPSECh. 12.4 - Prob. 39PPSECh. 12.4 - Prob. 40PPSECh. 12.4 - Prob. 41PPSECh. 12.4 - Prob. 42PPSECh. 12.4 - Prob. 43PPSECh. 12.4 - Prob. 44PPSECh. 12.4 - Prob. 45PPSECh. 12.4 - Prob. 46PPSECh. 12.4 - Prob. 47PPSECh. 12.4 - Prob. 48PPSECh. 12.4 - Prob. 49PPSECh. 12.4 - Prob. 50PPSECh. 12.4 - Prob. 51PPSECh. 12.4 - Prob. 52PPSECh. 12.4 - Prob. 53PPSECh. 12.4 - Prob. 54PPSECh. 12.4 - Prob. 55PPSECh. 12.4 - Prob. 56PPSECh. 12.4 - Prob. 57PPSECh. 12.4 - Prob. 58PPSECh. 12.4 - Prob. 59PPSECh. 12.4 - Prob. 60PPSECh. 12.4 - Prob. 61PPSECh. 12.4 - Prob. 62PPSECh. 12.5 - Prob. 1LCCh. 12.5 - Prob. 2LCCh. 12.5 - Prob. 3LCCh. 12.5 - Prob. 4LCCh. 12.5 - Prob. 5LCCh. 12.5 - Prob. 6LCCh. 12.5 - Prob. 7PPSECh. 12.5 - Prob. 8PPSECh. 12.5 - Prob. 9PPSECh. 12.5 - Prob. 10PPSECh. 12.5 - Prob. 11PPSECh. 12.5 - Prob. 12PPSECh. 12.5 - Prob. 13PPSECh. 12.5 - Prob. 14PPSECh. 12.5 - Prob. 15PPSECh. 12.5 - Prob. 16PPSECh. 12.5 - Prob. 17PPSECh. 12.5 - Prob. 18PPSECh. 12.5 - Prob. 19PPSECh. 12.5 - Prob. 20PPSECh. 12.5 - Prob. 21PPSECh. 12.5 - Prob. 22PPSECh. 12.5 - Prob. 23PPSECh. 12.5 - Prob. 24PPSECh. 12.5 - Prob. 25PPSECh. 12.5 - Prob. 26PPSECh. 12.5 - Prob. 27PPSECh. 12.5 - Prob. 28PPSECh. 12.5 - Prob. 29PPSECh. 12.5 - Prob. 30PPSECh. 12.5 - Prob. 31PPSECh. 12.5 - Prob. 32PPSECh. 12.5 - Prob. 33PPSECh. 12.5 - Prob. 34PPSECh. 12.5 - Prob. 35PPSECh. 12.5 - Prob. 36PPSECh. 12.5 - Prob. 37PPSECh. 12.5 - Prob. 38PPSECh. 12.5 - Prob. 39PPSECh. 12.5 - Prob. 40PPSECh. 12.5 - Prob. 41PPSECh. 12.5 - Prob. 42PPSECh. 12.5 - Prob. 43PPSECh. 12.5 - Prob. 44PPSECh. 12.5 - Prob. 45PPSECh. 12.5 - Prob. 46PPSECh. 12.5 - Prob. 47PPSECh. 12.5 - Prob. 48PPSECh. 12.5 - Prob. 49PPSECh. 12.5 - Prob. 50PPSECh. 12.5 - Prob. 51PPSECh. 12.5 - Prob. 52PPSECh. 12.6 - Prob. 1LCCh. 12.6 - Prob. 2LCCh. 12.6 - Prob. 3LCCh. 12.6 - Prob. 4LCCh. 12.6 - Prob. 5LCCh. 12.6 - Prob. 6LCCh. 12.6 - Prob. 7PPSECh. 12.6 - Prob. 8PPSECh. 12.6 - Prob. 9PPSECh. 12.6 - Prob. 10PPSECh. 12.6 - Prob. 11PPSECh. 12.6 - Prob. 12PPSECh. 12.6 - Prob. 13PPSECh. 12.6 - Prob. 14PPSECh. 12.6 - Prob. 15PPSECh. 12.6 - Prob. 16PPSECh. 12.6 - Prob. 17PPSECh. 12.6 - Prob. 18PPSECh. 12.6 - Prob. 19PPSECh. 12.6 - Prob. 20PPSECh. 12.6 - Prob. 21PPSECh. 12.6 - Prob. 22PPSECh. 12.6 - Prob. 23PPSECh. 12.6 - Prob. 24PPSECh. 12.6 - Prob. 25PPSECh. 12.6 - Prob. 26PPSECh. 12.6 - Prob. 27PPSECh. 12.6 - Prob. 28PPSECh. 12.6 - Prob. 29PPSECh. 12.6 - Prob. 30PPSECh. 12.6 - Prob. 31PPSECh. 12.6 - Prob. 32PPSECh. 12.6 - Prob. 33PPSECh. 12.6 - Prob. 34PPSECh. 12.6 - Prob. 35PPSECh. 12.6 - Prob. 36PPSECh. 12.6 - Prob. 37PPSECh. 12.6 - Prob. 38PPSECh. 12.6 - Prob. 39PPSECh. 12.6 - Prob. 40PPSECh. 12.6 - Prob. 41PPSECh. 12.6 - Prob. 42PPSECh. 12.6 - Prob. 43PPSECh. 12.6 - Prob. 44PPSECh. 12.6 - Prob. 45PPSECh. 12.6 - Prob. 46PPSECh. 12.6 - Prob. 47PPSECh. 12.6 - Prob. 48PPSECh. 12.6 - Prob. 49PPSECh. 12.6 - Prob. 50PPSECh. 12.6 - Prob. 51PPSECh. 12.6 - Prob. 52PPSECh. 12.6 - Prob. 53PPSECh. 12 - Prob. 1GRCh. 12 - Prob. 2GRCh. 12 - Prob. 3GRCh. 12 - Prob. 4GRCh. 12 - Prob. 5GRCh. 12 - Prob. 6GRCh. 12 - Prob. 7GRCh. 12 - Prob. 8GRCh. 12 - Prob. 9GRCh. 12 - Prob. 10GRCh. 12 - Prob. 11GRCh. 12 - Prob. 12GRCh. 12 - Prob. 13GRCh. 12 - Prob. 14GRCh. 12 - Prob. 15GRCh. 12 - Prob. 1MCQCh. 12 - Prob. 2MCQCh. 12 - Prob. 3MCQCh. 12 - Prob. 4MCQCh. 12 - Prob. 5MCQCh. 12 - Prob. 6MCQCh. 12 - Prob. 7MCQCh. 12 - Prob. 8MCQCh. 12 - Prob. 9MCQCh. 12 - Prob. 10MCQCh. 12 - Prob. 11MCQCh. 12 - Prob. 12MCQCh. 12 - Prob. 13MCQCh. 12 - Prob. 14MCQCh. 12 - Prob. 15MCQCh. 12 - Prob. 16MCQCh. 12 - Prob. 17MCQCh. 12 - Prob. 18MCQCh. 12 - Prob. 19MCQCh. 12 - Prob. 20MCQCh. 12 - Prob. 21MCQCh. 12 - Prob. 22MCQCh. 12 - Prob. 23MCQCh. 12 - Prob. 24MCQCh. 12 - Prob. 25MCQCh. 12 - Prob. 26MCQCh. 12 - Prob. 27MCQCh. 12 - Prob. 1CVCh. 12 - Prob. 2CVCh. 12 - Prob. 3CVCh. 12 - Prob. 4CVCh. 12 - Prob. 5ECh. 12 - Prob. 6ECh. 12 - Prob. 7ECh. 12 - Prob. 8ECh. 12 - Prob. 9ECh. 12 - Prob. 10ECh. 12 - Prob. 11ECh. 12 - Prob. 12ECh. 12 - Prob. 13ECh. 12 - Prob. 14ECh. 12 - Prob. 15ECh. 12 - Prob. 16ECh. 12 - Prob. 17ECh. 12 - Prob. 18ECh. 12 - Prob. 19ECh. 12 - Prob. 20ECh. 12 - Prob. 21ECh. 12 - Prob. 22ECh. 12 - Prob. 23ECh. 12 - Prob. 24ECh. 12 - Prob. 25ECh. 12 - Prob. 26ECh. 12 - Prob. 27ECh. 12 - Prob. 28ECh. 12 - Prob. 29ECh. 12 - Prob. 30ECh. 12 - Prob. 31ECh. 12 - Prob. 32ECh. 12 - Prob. 33ECh. 12 - Prob. 34ECh. 12 - Prob. 35ECh. 12 - Prob. 36ECh. 12 - Prob. 37ECh. 12 - Prob. 38ECh. 12 - Prob. 39ECh. 12 - Prob. 40ECh. 12 - Prob. 1CTCh. 12 - Prob. 2CTCh. 12 - Prob. 3CTCh. 12 - Prob. 4CTCh. 12 - Prob. 5CTCh. 12 - Prob. 6CTCh. 12 - Prob. 7CTCh. 12 - Prob. 8CTCh. 12 - Prob. 9CTCh. 12 - Prob. 10CTCh. 12 - Prob. 11CTCh. 12 - Prob. 12CTCh. 12 - Prob. 13CTCh. 12 - Prob. 14CTCh. 12 - Prob. 15CTCh. 12 - Prob. 16CTCh. 12 - Prob. 17CTCh. 12 - Prob. 18CTCh. 12 - Prob. 19CTCh. 12 - Prob. 20CTCh. 12 - Prob. 21CTCh. 12 - Prob. 22CTCh. 12 - Prob. 23CTCh. 12 - Prob. 24CTCh. 12 - Prob. 25CTCh. 12 - Prob. 26CTCh. 12 - Prob. 27CTCh. 12 - Prob. 28CTCh. 12 - Prob. 29CTCh. 12 - Prob. 30CTCh. 12 - Prob. 31CTCh. 12 - Prob. 32CTCh. 12 - Prob. 33CTCh. 12 - Prob. 34CTCh. 12 - Prob. 1CCSRCh. 12 - Prob. 2CCSRCh. 12 - Prob. 3CCSRCh. 12 - Prob. 4CCSRCh. 12 - Prob. 5CCSRCh. 12 - Prob. 6CCSRCh. 12 - Prob. 7CCSRCh. 12 - Prob. 8CCSRCh. 12 - Prob. 9CCSRCh. 12 - Prob. 10CCSRCh. 12 - Prob. 11CCSRCh. 12 - Prob. 12CCSRCh. 12 - Prob. 13CCSRCh. 12 - Prob. 14CCSRCh. 12 - Prob. 15CCSRCh. 12 - Prob. 16CCSRCh. 12 - Prob. 17CCSRCh. 12 - Prob. 18CCSRCh. 12 - Prob. 19CCSRCh. 12 - Prob. 20CCSRCh. 12 - Prob. 21CCSRCh. 12 - Prob. 22CCSRCh. 12 - Prob. 23CCSRCh. 12 - Prob. 24CCSRCh. 12 - Prob. 25CCSRCh. 12 - Prob. 26CCSRCh. 12 - Prob. 27CCSR
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