Explanation Approach: Two matrices A and B can be multiplied if they satisfy the condition that the number of columns in A is same as the number of rows in B . If A is a square matrix of dimension n × n and there exist another square matrix B of dimension n × n such that A B = I = B A , then we say B is the inverse of A . Calculation: A B = [ 3 2 4 1 1 − 6 2 1 12 ] [ 9 − 10 − 8 − 12 14 11 − 1 2 1 2 1 2 ] = [ 3 ⋅ 9 + 2 ( − 12 ) + 4 ( − 1 2 ) 3 ( − 10 ) + 2 ⋅ 14 + 4 ⋅ ( 1 2 ) 3 ( − 8 ) + 2 ⋅ 11 + 4 ( 1 2 ) 1 ⋅ 9 + 1 ( − 12 ) + ( − 6 ) ( − 1 2 ) 1 ( − 10 ) + 1 ⋅ 14 + ( − 6 ) ( 1 2 ) 1 ( − 8 ) + 1 ⋅ 11 + ( − 6 ) ( 1 2 ) 2 ⋅ 9 + 1 ( − 12 ) + 12 ( − 1 2 ) 2 ( − 10 ) + 1 ⋅ 14 + 12 ( 1 2 ) 2 ( − 8 ) + 1 ⋅ 11 + 12 ( 1 2 ) ] = [ 1 0 0 0 1 0 0 0 1 ] = I And,

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Author: Stewart

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Chapter 11.3, Problem 6E

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The products AB and BA and hence verify that the given matrix B=[9−10−8−121411−121212] is inverse of the matrix A=[32411−62112].

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Chapter 11.3, Problem 5E

Chapter 11.3, Problem 7E

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The products A B and B A and hence verify that the given matrix B = [ 9 − 10 − 8 − 12 14 11 − 1 2 1 2 1 2 ] is inverse of the matrix A = [ 3 2 4 1 1 − 6 2 1 12 ] .

Solution Summary: The author explains that two matrices A and B can be multiplied if they satisfy the condition that the number of columns in

Videos

To find:

The products AB and BA and hence verify that the given matrix B=[9−10−8−121411−121212] is inverse of the matrix A=[32411−62112].

Want to see the full answer?

Chapter 11 Solutions

The products A B and B A and hence verify that the given matrix B = [ 9 − 10 − 8 − 12 14 11 − 1 2 1 2 1 2 ] is inverse of the matrix A = [ 3 2 4 1 1 − 6 2 1 12 ] .

Solution Summary: The author explains that two matrices A and B can be multiplied if they satisfy the condition that the number of columns in

Videos

To find: The products AB and BA and hence verify that the given matrix B=[9−10−8−121411−121212] is inverse of the matrix A=[32411−62112].

Want to see the full answer?

Chapter 11 Solutions

To find:

The products AB and BA and hence verify that the given matrix B=[9−10−8−121411−121212] is inverse of the matrix A=[32411−62112].