Explanation Given Information: The matrix A = [ 0 2 0 3 3 2 2 5 1 ] , B = [ − 3.5 − 1 2 0.5 0 0 4.5 2 − 3 ] . Calculation: The given expression is A = [ 0 2 0 3 3 2 2 5 1 ] , B = [ − 3.5 − 1 2 0.5 0 0 4.5 2 − 3 ] Now, we will compute the matrix as [ A B ] A B = [ 0 2 0 3 3 2 2 5 1 ] [ − 3.5 − 1 2 0.5 0 0 4.5 2 − 3 ] = [ 0 × ( − 3.5 ) + 2 × 0.5 + 0 × 4.5 0 × ( − 1 ) + 2 × 0 + 0 × 2 0 × 2 + 2 × 0 + 0 × − 3 3 × ( − 3.5 ) + 3 × 0.5 + 2 × 4.5 3 × ( − 1 ) + 3 × 0 + 2 × 2 3 × 2 + 3 × 0 + 2 × ( − 3 ) 2 × ( − 3.5 ) + 5 × 0.5 + 1 × 4.5 2 × ( − 1 ) + 5 × 0 + 1 × 2 2 × 2 + 5 × 0 + 1 × ( − 3 ) ] = [ 1 0 0 0 1 0 0 0 1 ] = I 3 Now, we will compute the matrix as [ B A ] B A = [ − 3.5 − 1 2 0.5 0 0 4.5 2 − 3 ] [ 0 2 0 3 3 2 2 5 1 ] = [ ( − 3.5 ) × 0 + ( − 1 ) × 3 + 2 × 2 ( − 3.5 ) × 2 + ( − 1 ) × 3 + 2 × 5 ( − 3.5 ) × 0 + ( − 1 ) × 2 + 2 × 1 0.5 × 0 + 0 × 3 + 0 × 2 0.5 × 2 + 0 × 3 + 0 × 5 0.5 × 0 + 0 × 2 + 0 × 1 4.5 × 0 + 2 × 3 + ( − 3 ) × 2 4.5 × 2 + 2 × 3 + ( − 3 ) × 5 4

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Author: Blitzer

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To Calculate: The product of the matrix AB, BA and also find the matrix B is the

Multiplicative inverse of matrix A

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The product of the matrix A B , B A and also find the matrix B is the Multiplicative inverse of matrix A

Solution Summary: The author explains that the matrix AB, BA and B are the multiplicative inverse of A.

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To Calculate: The product of the matrix AB, BA and also find the matrix B is the

Multiplicative inverse of matrix A

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Chapter 8 Solutions

The product of the matrix A B , B A and also find the matrix B is the Multiplicative inverse of matrix A

Solution Summary: The author explains that the matrix AB, BA and B are the multiplicative inverse of A.

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To Calculate: The product of the matrix AB, BA and also find the matrix B is the Multiplicative inverse of matrix A

Want to see the full answer?

Chapter 8 Solutions

To Calculate: The product of the matrix AB, BA and also find the matrix B is the

Multiplicative inverse of matrix A