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Chapter 11: Q. 58 (page 756)

In Problems 41鈥� 60, use the inverses found in Problems 31鈥�40 to solve each system of equation

3x+3y+z=8x+2y+z=52x-y+z=4

Short Answer

Expert verified

The solution of the matrix isx=87,y=57andz=177.

Step by step solution

01

Step 1. Given information 

A matrix is given as,

3x+3y+z=8x+2y+z=52x-y+z=4

We need to find the solution of the matrix using inverse of the matrix.

02

Step 2. Inverse of the matrix. 

The inverse of the matrix is:

A-1=173-4111-2-593

03

Step 3. Solution of the matrix 

We know,

X=A-1BX=173-4111-2-593854=173(8)-4(5)+1(4)1(8)+1(5)-2(4)-5(8)+9(5)+3(4)xyz=178517

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