Explanation Given Information: The matrix A = [ − 2 − 1 − 1 1 ] , B = [ 1 1 1 2 ] Formula used: Row-by-column matrix multiplicatipn. Inverse of matrix A i n v ( A ) = 1 a d − b c ( d − b − c a ) Calculation: The given expression is: A = [ − 2 − 1 − 1 1 ] , B = [ 1 1 1 2 ] Now, we will compute the matrix as [ A B ] A B = [ − 2 − 1 − 1 1 ] [ 1 1 1 2 ] = [ ( − 2 ) × 1 + ( − 1 ) × 1 ( − 2 ) × 1 + ( − 1 ) × 2 ( − 1 ) × 1 + 1 × 1 ( − 1 ) × 1 + 1 × 2 ] = [ − 3 − 4 0 1 ] Now we will compute the matrix as [ B A ] B A = [ 1 1 1 2 ] [ − 2 − 1 − 1 1 ] = [

6th Edition

ISBN: 9780134469140

Author: Robert F. Blitzer

Publisher: PEARSON

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Chapter 8.4, Problem 2PE

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To calculate: The product of matrix AB, BA where, A=[−2−1−11],B=[1112]

and also find the matrix B is the multiplicative inverse of matrix A.

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Chapter 8.4, Problem 1PE

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The product of matrix A B , B A where, A = [ − 2 − 1 − 1 1 ] , B = [ 1 1 1 2 ] and also find the matrix B is the multiplicative inverse of matrix A .

Solution Summary: The author calculates the matrix AB, BA and B is the multiplicative inverse of A.

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To calculate: The product of matrix AB, BA where, A=[−2−1−11],B=[1112]

and also find the matrix B is the multiplicative inverse of matrix A.

Want to see the full answer?

Chapter 8 Solutions

The product of matrix A B , B A where, A = [ − 2 − 1 − 1 1 ] , B = [ 1 1 1 2 ] and also find the matrix B is the multiplicative inverse of matrix A .

Solution Summary: The author calculates the matrix AB, BA and B is the multiplicative inverse of A.

Concept explainers

Videos

To calculate: The product of matrix AB, BA where, A=[−2−1−11],B=[1112] 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 matrix AB, BA where, A=[−2−1−11],B=[1112]

and also find the matrix B is the multiplicative inverse of matrix A.