Explanation Given Information: The provided matrices are B = [ 3 0 − 1 5 − 1 1 ] and C = [ x 1 w z r 4 ] . Formula used: A matrix with m rows and n columns is of dimension m × n , where, m and n are positive integers. For two matrices A and B with equal dimensions, A + B and A − B is the sum and difference of the corresponding entries of the matrices respectively as, ( A + B ) i j = A i j + B i j ( A − B ) i j = A i j − B i j Calculation: Consider the matrices, B = [ 3 0 − 1 5 − 1 1 ] and C = [ x 1 w z r 4 ] Recall that, a matrix with m rows and n columns is of dimension m × n , where, m and n are positive integers. Here, number of rows in B = [ 3 0 − 1 5 − 1 1 ] is 2 and number of columns is 3 . Substitute 2 for m and 3 for n in m × n , Thus, dimension of B = [ 3 0 − 1 5 − 1 1 ] is 2 × 3 . Now, number of rows in C = [ x 1 w z r 4 ] is 2 and number of columns is 3

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ISBN: 9781337280426

Author: Stefan Waner, Steven Costenoble

Publisher: Cengage Learning

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Chapter 4.1, Problem 22E

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To calculate: The value of B−C, where B=[30−15−11] and C=[x1wzr4].

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Chapter 4.1, Problem 21E

Chapter 4.1, Problem 23E

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The value of B − C , where B = [ 3 0 − 1 5 − 1 1 ] and C = [ x 1 w z r 4 ] .

Solution Summary: The author calculates the value of B-C for two matrices AandB with equal dimensions.

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To calculate: The value of B−C, where B=[30−15−11] and C=[x1wzr4].

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Chapter 4 Solutions