Explanation Given Information: The matrix A = [ 0 1 0 0 0 1 1 0 0 ] , B = [ 0 0 1 1 0 0 0 1 0 ] Formula used: To find A − 1 , first form [ A | I ] then use row operation to obtain [ I | B ] that indicate B = A − 1 . Calculation: The given expression is A = [ 0 1 0 0 0 1 1 0 0 ] , B = [ 0 0 1 1 0 0 0 1 0 ] Now, we will compute the matrix as [ A B ] A B = [ 0 1 0 0 0 1 1 0 0 ] [ 0 0 1 1 0 0 0 1 0 ] = [ 0 × 0 + 1 × 1 + 0 × 0 0 × 0 + 1 × 0 + 0 × 1 0 × 1 + 1 × 0 + 0 × 1 0 × 0 + 0 × 1 + 1 × 0 0 × 0 + 0 × 0 + 1 × 1 0 × 1 + 0 × 0 + 1 × 0 1 × 0 + 0 × 1 + 0 × 0 1 × 0 + 0 × 0 + 0 × 1 1 × 1 + 0 × 0 + 0 × 0 ] = [ 1 0 0 0 1 0 0 0 1 ] = I 3 Now, we will compute the matrix as [ B A ] B A = [ 0 0 1 1 0 0 0 1 0 ] [ 0 1 0 0 0 1 1 0 0 ]

13th Edition

ISBN: 9781269417358

Author: Blitzer

Publisher: PEARSON C

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Chapter 8.4, Problem 7PE

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To calculate: The product of the matrix AB, BA where, A=[010001100],B=[001100010] and also find the matrix B is the multiplicative inverse of matrix A.

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Chapter 8.4, Problem 6PE

Chapter 8.4, Problem 8PE

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PRECALCULUS CUSTOM W/MYMTHLAB >IC<

Ch. 8.1 - Check Point 1 Write the augmented matrix for the...Ch. 8.1 - Check Point 2 Use the matrix ...Ch. 8.1 - Check Point 3 Use matrices to solve the system:...Ch. 8.1 - Check Point 4 Use matrices to solve the system:...Ch. 8.1 - Check Point 5 Solve the system in Check Point. 3...Ch. 8.1 - Prob. 1CVC Ch. 8.1 - Fill in each blank so that the resulting statement...Ch. 8.1 - Prob. 3CVC Ch. 8.1 - Prob. 4CVC Ch. 8.1 - Fill in each blank so that the resulting statement...

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The product of the matrix A B , B A where, A = [ 0 1 0 0 0 1 1 0 0 ] , B = [ 0 0 1 1 0 0 0 1 0 ] 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 where, A=[010001100],B=[001100010] and also find the matrix B is the multiplicative inverse of matrix A.

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Chapter 8 Solutions