   # In Problems 25-34, use the matrices below. Perform the indicated operations. A = [ 2 5 4 1 4 3 1 − 3 − 2 ] B = [ − 1 2 1 − 5 8 2 − 7 11 − 3 ] I = [ 1 0 0 0 1 0 0 0 1 ] C = [ 3 0 4 1 7 − 1 3 0 4 ] D = [ 4 4 − 8 − 1 − 1 2 − 3 − 3 6 ] F = [ 0 1 2 0 0 − 4 0 0 0 ] Z = [ 0 0 0 0 0 0 0 0 0 ] 31. A I ### Mathematical Applications for the ...

12th Edition
Ronald J. Harshbarger + 1 other
Publisher: Cengage Learning
ISBN: 9781337625340

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

12th Edition
Ronald J. Harshbarger + 1 other
Publisher: Cengage Learning
ISBN: 9781337625340
Chapter 3.2, Problem 31E
Textbook Problem
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## In Problems 25-34, use the matrices below. Perform the indicated operations. A = [ 2 5 4 1 4 3 1 − 3 − 2 ] B = [ − 1 2 1 − 5 8 2 − 7 11 − 3 ] I = [ 1 0 0 0 1 0 0 0 1 ] C = [ 3 0 4 1 7 − 1 3 0 4 ] D = [ 4 4 − 8 − 1 − 1 2 − 3 − 3 6 ] F = [ 0 1 2 0 0 − 4 0 0 0 ] Z = [ 0 0 0 0 0 0 0 0 0 ] 31.     A I

To determine

The product of matrices A and I, where A=[ 254143132 ] and I=[ 100010001 ].

### Explanation of Solution

Given information:

A=[ 254143132 ],I=[ 100010001 ].

Formula used:

Matrix A is of order m×n and matrix B is of order n×p, hence, the product of A and B is AB of order m×p, with the ijth entry of AB as given by the formula,

ABij=ai1b1j+ai2b2j+.....+ainbnj.

Calculation:

Multiplication of matrices A and I is

AI=[ 254143132 ][ 100010001 ]

[ 21+50+4020+51+4020+5⋅</

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