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
Book Icon
Chapter 12.3, Problem 51PPSE
Solution

Whether the inverse of the matrix 4735 exists or not. If exists, then find it. Else, explain the reason to not exist.

Yes, the inverse of the matrix exists. The inverse of the matrix is 47351=5734 .

Given information: Matrix is 4735 .

Formula used: The determinant of the matrix A=abcd is,

  detA=abcd=adbc .

If the determinant of the matrix is not zero, then inverse exists.

Inverse of the matrix is,

  A1=1adbcdbca .

Calculation:

Consider the matrix as,

  4735 .

The determinant of the matrix is,

  4735=4×57×3=2021=1

Since, determinant is non-zero.

Hence, inverse exists.

Then inverse of the matrix is,

  47351=115734=5734=5734

Therefore, the inverse of the matrix is 47351=5734 .

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
Knowledge Booster
Background pattern image
Recommended textbooks for you
Text book image
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:PEARSON
Text book image
Contemporary Abstract Algebra
Algebra
ISBN:9781305657960
Author:Joseph Gallian
Publisher:Cengage Learning
Text book image
Linear Algebra: A Modern Introduction
Algebra
ISBN:9781285463247
Author:David Poole
Publisher:Cengage Learning
Text book image
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:9780135163078
Author:Michael Sullivan
Publisher:PEARSON
Text book image
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:9780980232776
Author:Gilbert Strang
Publisher:Wellesley-Cambridge Press
Text book image
College Algebra (Collegiate Math)
Algebra
ISBN:9780077836344
Author:Julie Miller, Donna Gerken
Publisher:McGraw-Hill Education