Explanation Given information: The matrix equation is, [ 0 − 2 2 3 1 3 1 − 2 3 ] [ x u y v z w ] = [ 3 6 6 12 0 0 ] Concept used: The solution of the matrix equation can be calculated as, A X = B A − 1 A X = A − 1 B I X = A − 1 B X = A − 1 B Here, A is a square n × n matrix that is invertible, B is known matrix with n rows and X is a unknown matrix. I A = A A I = A Here, I is the n × n identity matrix with diagonal elements 1 and other elements are 0. Calculation: Multiply [ 0 − 2 2 3 1 3 1 − 2 3 ] − 1 on both side of the given matrix equation as, [ 0 − 2 2 3 1 3 1 − 2 3 ] − 1 [ 0 − 2 2 3 1 3 1 − 2 3 ] [ x u y v z w ] = [ 0 − 2 2 3 1 3 1 − 2 3 ] − 1 [ 3 6 6 12 0 0 ] ...... (1) Consider [ 0 − 2 2 3 1 3 1 − 2 3 ] as A , [ x u y v z w ] as X and [ 3 6 6 12 0 0 ] as B to obtain the solution of the unknown matrix

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ISBN: 9781305115545

Author: James Stewart, Lothar Redlin, Saleem Watson

Publisher: Cengage Learning

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Chapter 6.3, Problem 54E

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The solution of the matrix equation by multiplying each side by the appropriate inverse matrix.

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Chapter 6.3, Problem 53E

Chapter 6.3, Problem 55E

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The solution of the matrix equation by multiplying each side by the appropriate inverse matrix.

Solution Summary: The author calculates the solution of the matrix equation by multiplying each side by the appropriate inverse matrix.

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To find: The solution of the matrix equation by multiplying each side by the appropriate inverse matrix.

Want to see the full answer?

Chapter 6 Solutions

To find:

The solution of the matrix equation by multiplying each side by the appropriate inverse matrix.