Explanation Given information: [ 3 0 1 − 2 ] [ 1 0 − 1 2 4 1 ] Calculation: We have [ 3 1 0 − 2 ] [ 1 0 − 1 2 4 1 ] . The first matrix has dimensions 2 x 2 and the second matrix has dimension 2 x 3. Since the inner dimensions are equal, we can multiply the matrices. Moreover, the product should be 2 x 3-matrix. Multiply the rows of the first matrix with the columns of the second matrix (adding the products of the corresponding elements): [ 3 1 0 − 2 ] [ 1 0 − 1 2 4 1 ] = [ 3 ⋅ 1 + 0 ⋅ 0 1 ⋅ 1 + ( − 2 ) ⋅ 0 3 ⋅ ( − 1 ) + 0 ⋅ 2 1 ⋅ ( − 1 ) + < To determine (b) Find the product of [ 2 0 0 − 1 1 0 ] [ 1 5 − 2 3 − 4 2 ] . To determine (c) Find the product of [ − 1 2 ] [ 2 3 ] .

5th Edition

ISBN: 9780357035283

Author: EPP

Publisher: Cengage

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Chapter 10.2, Problem 9ES

To determine

(a)

Find the product of [301−2][ 1 0 −1 2 4 1 ].

To determine

(b)

Find the product of [ 2 0 0 −1 1 0 ][ 1 5 −2 3 −4 2 ].

To determine

(c)

Find the product of [−12][23].

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Chapter 10.2, Problem 8ES

Chapter 10.2, Problem 10ES

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