3 4 5

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter2: Solving Equations
Section2.6: Solving Equations Using Multiplication Or Division
Problem 47E
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Find the inverse of the matrix (if it exists).

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Transcribed Image Text:3 4 5
Expert Solution
Step 1

Inverse of the matrix exists only if

                                                             det(Matrix)0

The given Matrix is :

                                                         A=100340255

Let's check the determinant of this matrix if equal to 0 or not:

                                                      A=1(20)=200

Hence,

The determinant is non-zero , so the inverse exists for this matrix.

Step 2

Finding the inverse:

                                                       A-1=1Aadj AA-1=120adj A

Let's find the Adjoint of the matrix A = ?

First we find,

                        Minor matrix of A20157055004

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