1.- Given the following matrices [A] and [B], carry out the indicatedoperations:2-1[2; [B] = 0 -1 2; [C]3][2 -1 3]13[A]2-22-32]a) [A][B]; b) [4][B][C]; c) [B][A][C] ; d) [A][C]; e) [A][C][B]; [B][C];g) [B][C][A] ; h) [C][B]

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1.- Given the following matrices [A] and [B], carry out the indicated operations: 2 -1 [2 -1 31 3 [A] ; [B] = 0 -1 2: [C] 2 -2 2 31 -3 2] a) [A][B]; b) [A][B][C]; c) [B][A][C]; d) [A][C]; e) [A]CC[B]; f) [B][C] ; g) [B][c][A] ; h) [c][B]

1.- Given the following matrices [A] and [B], carry out the indicated operations: 2 -1 [2 -1 31 3 [A] ; [B] = 0 -1 2: [C] 2 -2 2 31 -3 2] a) [A][B]; b) [A][B][C]; c) [B][A][C]; d) [A][C]; e) [A]CC[B]; f) [B][C] ; g) [B][c][A] ; h) [c][B]

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter6: Linear Systems

Section6.5: Determinants

Problem 82E: Use an example chosen from 22 matrices to show that for nn matrices A and B,ABBA but AB=BA.

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Concept explainers

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.

Question

1.- Given the following matrices [A] and [B], carry out the indicated
operations:
2
-1
[2
; [B] = 0 -1 2; [C]
3]
[2 -1 3]
1
3
[A]
2
-2
2
-3
2]
a) [A][B]; b) [4][B][C]; c) [B][A][C] ; d) [A][C]; e) [A][C][B]; [B][C];
g) [B][C][A] ; h) [C][B]

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