−1 3 - (²-1) and B = (²+¹) 3). 2 -3 2 Given the following matrices A = [i] Calculate 2A - B. [ii] Find AT. [iii] Calculate AB. [iv] Based on your results from part [iii], what can you conclude about the relationship between matrices A and B.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 29CM
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Given the following matrices A =
1 −1
3
(₁3) and B=(₁-1).
2 -3
2
[i] Calculate 2A - B.
[ii] Find AT.
[iii] Calculate AB.
[iv] Based on your results from part [iii], what can you conclude about the relationship between
matrices A and B.
Transcribed Image Text:Given the following matrices A = 1 −1 3 (₁3) and B=(₁-1). 2 -3 2 [i] Calculate 2A - B. [ii] Find AT. [iii] Calculate AB. [iv] Based on your results from part [iii], what can you conclude about the relationship between matrices A and B.
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