Algebra 2
Algebra 2
1st Edition
ISBN: 9780078884825
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Chapter 4.6, Problem 19PPS
To determine

To find: the inverse of the matrix, if it exists.

Expert Solution & Answer
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Answer to Problem 19PPS

The inverse exists.

Explanation of Solution

Given information:

  [3051] .

Formula used:

Inverse of a 2×2 matrix A=[abcd] is A1=1adbc[dbca] is, where adbc0 .

The value of a second order determinant is the difference of the products of the products of the two diagonals.

Calculation:

Consider,

  P=[3002]

Step 1.

  =|3051|=(3×1)(0)

  =30=3

Since the determinant does not equal to 0, P1 exists.

Step 2.

  P1=1(3)(1)(0)[1053]

  =130[1053]=13[1053]

  a=1,b=0,c=5,d=3

Step3.

Thus, inverse exits.

  P1=[130531]

Chapter 4 Solutions

Algebra 2

Ch. 4.1 - Prob. 7CYUCh. 4.1 - Prob. 8CYUCh. 4.1 - Prob. 9PPSCh. 4.1 - Prob. 10PPSCh. 4.1 - Prob. 11PPSCh. 4.1 - Prob. 12PPSCh. 4.1 - Prob. 13PPSCh. 4.1 - Prob. 14PPSCh. 4.1 - Prob. 15PPSCh. 4.1 - Prob. 16PPSCh. 4.1 - Prob. 17PPSCh. 4.1 - Prob. 18PPSCh. 4.1 - Prob. 19PPSCh. 4.1 - Prob. 20PPSCh. 4.1 - Prob. 21PPSCh. 4.1 - Prob. 22PPSCh. 4.1 - Prob. 23PPSCh. 4.1 - Prob. 24PPSCh. 4.1 - Prob. 25PPSCh. 4.1 - Prob. 26PPSCh. 4.1 - Prob. 27PPSCh. 4.1 - Prob. 28PPSCh. 4.1 - Prob. 29PPSCh. 4.1 - Prob. 30PPSCh. 4.1 - Prob. 31PPSCh. 4.1 - Prob. 32PPSCh. 4.1 - Prob. 33PPSCh. 4.1 - Prob. 34PPSCh. 4.1 - Prob. 35HPCh. 4.1 - Prob. 36HPCh. 4.1 - Prob. 37HPCh. 4.1 - Prob. 38HPCh. 4.1 - Prob. 39HPCh. 4.1 - Prob. 40HPCh. 4.1 - Prob. 41HPCh. 4.1 - Prob. 42HPCh. 4.1 - Prob. 43HPCh. 4.1 - Prob. 44HPCh. 4.1 - Prob. 45STPCh. 4.1 - Prob. 46STPCh. 4.1 - Prob. 47STPCh. 4.1 - Prob. 48STPCh. 4.1 - Prob. 49STPCh. 4.1 - Prob. 50STPCh. 4.1 - Prob. 51STPCh. 4.1 - Prob. 52STPCh. 4.1 - Prob. 53SCh. 4.1 - Prob. 54SCh. 4.1 - Prob. 55SCh. 4.1 - Prob. 1ECh. 4.1 - Prob. 2ECh. 4.1 - Prob. 3ECh. 4.2 - Prob. 1ACYPCh. 4.2 - Prob. 1BCYPCh. 4.2 - Prob. 2CYPCh. 4.2 - Prob. 3CYPCh. 4.2 - Prob. 4CYPCh. 4.2 - Prob. 1CYUCh. 4.2 - Prob. 2CYUCh. 4.2 - Prob. 3CYUCh. 4.2 - Prob. 4CYUCh. 4.2 - Prob. 5CYUCh. 4.2 - Prob. 6CYUCh. 4.2 - Prob. 7CYUCh. 4.2 - Prob. 8CYUCh. 4.2 - Prob. 9CYUCh. 4.2 - Prob. 10CYUCh. 4.2 - Prob. 11CYUCh. 4.2 - Prob. 12PPSCh. 4.2 - Prob. 13PPSCh. 4.2 - Prob. 14PPSCh. 4.2 - Prob. 15PPSCh. 4.2 - Prob. 16PPSCh. 4.2 - Prob. 17PPSCh. 4.2 - Prob. 18PPSCh. 4.2 - Prob. 19PPSCh. 4.2 - Prob. 20PPSCh. 4.2 - Prob. 21PPSCh. 4.2 - Prob. 22PPSCh. 4.2 - Prob. 23PPSCh. 4.2 - Prob. 24PPSCh. 4.2 - Prob. 25PPSCh. 4.2 - Prob. 26PPSCh. 4.2 - Prob. 27PPSCh. 4.2 - Prob. 28PPSCh. 4.2 - Prob. 29PPSCh. 4.2 - Prob. 30PPSCh. 4.2 - Prob. 31PPSCh. 4.2 - Prob. 32PPSCh. 4.2 - Prob. 33PPSCh. 4.2 - Prob. 34PPSCh. 4.2 - Prob. 35HPCh. 4.2 - Prob. 36HPCh. 4.2 - Prob. 37HPCh. 4.2 - Prob. 38HPCh. 4.2 - Prob. 39HPCh. 4.2 - Prob. 40HPCh. 4.2 - 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Prob. 5CYUCh. 4.4 - Prob. 6CYUCh. 4.4 - Prob. 7CYUCh. 4.4 - Prob. 8CYUCh. 4.4 - Prob. 9CYUCh. 4.4 - Prob. 10PPSCh. 4.4 - Prob. 11PPSCh. 4.4 - Prob. 12PPSCh. 4.4 - Prob. 13PPSCh. 4.4 - Prob. 14PPSCh. 4.4 - Prob. 15PPSCh. 4.4 - Prob. 16PPSCh. 4.4 - Prob. 17PPSCh. 4.4 - Prob. 18PPSCh. 4.4 - Prob. 19PPSCh. 4.4 - Prob. 20PPSCh. 4.4 - Prob. 21PPSCh. 4.4 - Prob. 22PPSCh. 4.4 - Prob. 23PPSCh. 4.4 - Prob. 24PPSCh. 4.4 - Prob. 25PPSCh. 4.4 - Prob. 26PPSCh. 4.4 - Prob. 27PPSCh. 4.4 - Prob. 28PPSCh. 4.4 - Prob. 29PPSCh. 4.4 - Prob. 30PPSCh. 4.4 - Prob. 31PPSCh. 4.4 - Prob. 32PPSCh. 4.4 - Prob. 33PPSCh. 4.4 - Prob. 34PPSCh. 4.4 - Prob. 35PPSCh. 4.4 - Prob. 36PPSCh. 4.4 - Prob. 37PPSCh. 4.4 - Prob. 38PPSCh. 4.4 - Prob. 39PPSCh. 4.4 - Prob. 40PPSCh. 4.4 - Prob. 41PPSCh. 4.4 - Prob. 42HPCh. 4.4 - Prob. 43HPCh. 4.4 - Prob. 44HPCh. 4.4 - Prob. 45HPCh. 4.4 - Prob. 46HPCh. 4.4 - Prob. 47HPCh. 4.4 - Prob. 48HPCh. 4.4 - Prob. 49HPCh. 4.4 - Prob. 50HPCh. 4.4 - Prob. 51HPCh. 4.4 - Prob. 52HPCh. 4.4 - Prob. 53STPCh. 4.4 - Prob. 54STPCh. 4.4 - Prob. 55STPCh. 4.4 - Prob. 56STPCh. 4.4 - Prob. 57STPCh. 4.4 - Prob. 58STPCh. 4.4 - Prob. 59STPCh. 4.4 - Prob. 60STPCh. 4.4 - Prob. 61STPCh. 4.4 - Prob. 62SCh. 4.4 - Prob. 63SCh. 4.4 - Prob. 64SCh. 4.4 - Prob. 1ECh. 4.4 - Prob. 2ECh. 4.4 - Prob. 3ECh. 4.4 - Prob. 4ECh. 4.4 - Prob. 5ECh. 4.4 - Prob. 6ECh. 4.4 - Prob. 7ECh. 4.4 - Prob. 8ECh. 4.4 - Prob. 9ECh. 4.4 - Prob. 10ECh. 4.4 - Prob. 11ECh. 4.4 - Prob. 12ECh. 4.5 - Prob. 1ACYPCh. 4.5 - Prob. 1BCYPCh. 4.5 - Prob. 2ACYPCh. 4.5 - Prob. 2BCYPCh. 4.5 - Prob. 3CYPCh. 4.5 - Prob. 4ACYPCh. 4.5 - Prob. 4BCYPCh. 4.5 - Prob. 5ACYPCh. 4.5 - Prob. 5BCYPCh. 4.5 - Prob. 1CYUCh. 4.5 - Prob. 2CYUCh. 4.5 - Prob. 3CYUCh. 4.5 - Prob. 4CYUCh. 4.5 - Prob. 5CYUCh. 4.5 - Prob. 6CYUCh. 4.5 - Prob. 7CYUCh. 4.5 - Prob. 8CYUCh. 4.5 - Prob. 9CYUCh. 4.5 - Prob. 10CYUCh. 4.5 - Prob. 11CYUCh. 4.5 - Prob. 12CYUCh. 4.5 - Prob. 13CYUCh. 4.5 - Prob. 14CYUCh. 4.5 - Prob. 15CYUCh. 4.5 - Prob. 16CYUCh. 4.5 - Prob. 17CYUCh. 4.5 - Prob. 18CYUCh. 4.5 - Prob. 19CYUCh. 4.5 - Prob. 20CYUCh. 4.5 - Prob. 21CYUCh. 4.5 - Prob. 22CYUCh. 4.5 - Prob. 23CYUCh. 4.5 - Prob. 24CYUCh. 4.5 - Prob. 25CYUCh. 4.5 - Prob. 26PPSCh. 4.5 - Prob. 27PPSCh. 4.5 - Prob. 28PPSCh. 4.5 - Prob. 29PPSCh. 4.5 - Prob. 30PPSCh. 4.5 - Prob. 31PPSCh. 4.5 - Prob. 32PPSCh. 4.5 - Prob. 33PPSCh. 4.5 - Prob. 34PPSCh. 4.5 - Prob. 35PPSCh. 4.5 - Prob. 36PPSCh. 4.5 - Prob. 37PPSCh. 4.5 - Prob. 38PPSCh. 4.5 - Prob. 39PPSCh. 4.5 - Prob. 40PPSCh. 4.5 - Prob. 41PPSCh. 4.5 - Prob. 42PPSCh. 4.5 - Prob. 43PPSCh. 4.5 - Prob. 44PPSCh. 4.5 - Prob. 45PPSCh. 4.5 - Prob. 46PPSCh. 4.5 - Prob. 47PPSCh. 4.5 - Prob. 48PPSCh. 4.5 - Prob. 49PPSCh. 4.5 - Prob. 50PPSCh. 4.5 - Prob. 51PPSCh. 4.5 - Prob. 52PPSCh. 4.5 - Prob. 53PPSCh. 4.5 - Prob. 54PPSCh. 4.5 - Prob. 55PPSCh. 4.5 - Prob. 56HPCh. 4.5 - Prob. 57HPCh. 4.5 - Prob. 58HPCh. 4.5 - Prob. 59HPCh. 4.5 - Prob. 60HPCh. 4.5 - Prob. 61HPCh. 4.5 - Prob. 62HPCh. 4.5 - Prob. 63HPCh. 4.5 - Prob. 64HPCh. 4.5 - Prob. 65HPCh. 4.5 - Prob. 66STPCh. 4.5 - Prob. 67STPCh. 4.5 - Prob. 68STPCh. 4.5 - Prob. 69STPCh. 4.5 - Prob. 70STPCh. 4.5 - Prob. 71STPCh. 4.5 - Prob. 72STPCh. 4.5 - Prob. 73STPCh. 4.5 - Prob. 74SCh. 4.5 - Prob. 75SCh. 4.5 - Prob. 76SCh. 4.6 - Prob. 1CYPCh. 4.6 - Prob. 2ACYPCh. 4.6 - Prob. 2BCYPCh. 4.6 - Prob. 3CYPCh. 4.6 - Prob. 1CYUCh. 4.6 - Prob. 2CYUCh. 4.6 - Prob. 3CYUCh. 4.6 - Prob. 4CYUCh. 4.6 - Prob. 5CYUCh. 4.6 - Prob. 6CYUCh. 4.6 - Prob. 7CYUCh. 4.6 - Prob. 8CYUCh. 4.6 - Prob. 9CYUCh. 4.6 - Prob. 10CYUCh. 4.6 - Prob. 11CYUCh. 4.6 - Prob. 12CYUCh. 4.6 - Prob. 13PPSCh. 4.6 - Prob. 14PPSCh. 4.6 - Prob. 15PPSCh. 4.6 - Prob. 16PPSCh. 4.6 - Prob. 17PPSCh. 4.6 - Prob. 18PPSCh. 4.6 - Prob. 19PPSCh. 4.6 - Prob. 20PPSCh. 4.6 - Prob. 21PPSCh. 4.6 - Prob. 22PPSCh. 4.6 - Prob. 23PPSCh. 4.6 - Prob. 24PPSCh. 4.6 - Prob. 25PPSCh. 4.6 - Prob. 26PPSCh. 4.6 - Prob. 27PPSCh. 4.6 - Prob. 28PPSCh. 4.6 - Prob. 29PPSCh. 4.6 - Prob. 30PPSCh. 4.6 - Prob. 31PPSCh. 4.6 - Prob. 32PPSCh. 4.6 - Prob. 33PPSCh. 4.6 - Prob. 34PPSCh. 4.6 - Prob. 35PPSCh. 4.6 - Prob. 36PPSCh. 4.6 - Prob. 37PPSCh. 4.6 - Prob. 38HPCh. 4.6 - Prob. 39HPCh. 4.6 - Prob. 40HPCh. 4.6 - Prob. 41HPCh. 4.6 - Prob. 42HPCh. 4.6 - Prob. 43HPCh. 4.6 - Prob. 44HPCh. 4.6 - Prob. 45HPCh. 4.6 - Prob. 46HPCh. 4.6 - Prob. 47STPCh. 4.6 - Prob. 48STPCh. 4.6 - Prob. 49STPCh. 4.6 - Prob. 50STPCh. 4.6 - Prob. 51STPCh. 4.6 - Prob. 52SCh. 4.6 - Prob. 53SCh. 4.6 - Prob. 54SCh. 4.6 - Prob. 1ECh. 4.6 - Prob. 2ECh. 4.6 - Prob. 3ECh. 4.6 - Prob. 4ECh. 4.6 - Prob. 5ECh. 4.6 - Prob. 6ECh. 4 - Prob. 1QCCh. 4 - Prob. 2QCCh. 4 - Prob. 3QCCh. 4 - Prob. 4QCCh. 4 - Prob. 5QCCh. 4 - Prob. 6QCCh. 4 - Prob. 7QCCh. 4 - Prob. 8QCCh. 4 - Prob. 9QCCh. 4 - Prob. 10QCCh. 4 - Prob. 11QCCh. 4 - Prob. 12QCCh. 4 - Prob. 13QCCh. 4 - Prob. 14QCCh. 4 - Prob. 15QCCh. 4 - Prob. 16QCCh. 4 - Prob. 1MCQCh. 4 - Prob. 2MCQCh. 4 - Prob. 3MCQCh. 4 - Prob. 4MCQCh. 4 - Prob. 5MCQCh. 4 - Prob. 6MCQCh. 4 - Prob. 7MCQCh. 4 - Prob. 8MCQCh. 4 - Prob. 9MCQCh. 4 - Prob. 10MCQCh. 4 - Prob. 11MCQCh. 4 - Prob. 12MCQCh. 4 - Prob. 13MCQCh. 4 - Prob. 14MCQCh. 4 - Prob. 15MCQCh. 4 - Prob. 16MCQCh. 4 - Prob. 17MCQCh. 4 - Prob. 18MCQCh. 4 - Prob. 19MCQCh. 4 - Prob. 1SGRCh. 4 - Prob. 2SGRCh. 4 - Prob. 3SGRCh. 4 - Prob. 4SGRCh. 4 - Prob. 5SGRCh. 4 - Prob. 6SGRCh. 4 - Prob. 7SGRCh. 4 - Prob. 8SGRCh. 4 - Prob. 9SGRCh. 4 - Prob. 10SGRCh. 4 - Prob. 11SGRCh. 4 - Prob. 12SGRCh. 4 - Prob. 13SGRCh. 4 - Prob. 14SGRCh. 4 - Prob. 15SGRCh. 4 - Prob. 16SGRCh. 4 - Prob. 17SGRCh. 4 - Prob. 18SGRCh. 4 - Prob. 19SGRCh. 4 - Prob. 20SGRCh. 4 - Prob. 21SGRCh. 4 - Prob. 22SGRCh. 4 - Prob. 23SGRCh. 4 - Prob. 24SGRCh. 4 - Prob. 25SGRCh. 4 - Prob. 26SGRCh. 4 - Prob. 27SGRCh. 4 - Prob. 28SGRCh. 4 - Prob. 29SGRCh. 4 - Prob. 30SGRCh. 4 - Prob. 31SGRCh. 4 - Prob. 32SGRCh. 4 - Prob. 33SGRCh. 4 - Prob. 34SGRCh. 4 - Prob. 1PTCh. 4 - Prob. 2PTCh. 4 - Prob. 3PTCh. 4 - Prob. 4PTCh. 4 - Prob. 5PTCh. 4 - Prob. 6PTCh. 4 - Prob. 7PTCh. 4 - Prob. 8PTCh. 4 - Prob. 9PTCh. 4 - Prob. 10PTCh. 4 - Prob. 11PTCh. 4 - Prob. 12PTCh. 4 - Prob. 13PTCh. 4 - Prob. 14PTCh. 4 - Prob. 15PTCh. 4 - Prob. 16PTCh. 4 - Prob. 17PTCh. 4 - Prob. 18PTCh. 4 - Prob. 19PTCh. 4 - Prob. 20PTCh. 4 - Prob. 21PTCh. 4 - Prob. 1ECh. 4 - Prob. 2ECh. 4 - Prob. 3ECh. 4 - Prob. 4ECh. 4 - Prob. 5ECh. 4 - Prob. 1STPCh. 4 - Prob. 2STPCh. 4 - Prob. 3STPCh. 4 - Prob. 4STPCh. 4 - Prob. 5STPCh. 4 - Prob. 6STPCh. 4 - Prob. 7STPCh. 4 - Prob. 8STPCh. 4 - Prob. 9STPCh. 4 - Prob. 10STPCh. 4 - Prob. 11STPCh. 4 - Prob. 12STPCh. 4 - Prob. 13STPCh. 4 - Prob. 14STP
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