Suppose A is a 2 × 4 matrix, and B is a 4 × 2 matrix. Assuming that A, B act on vectors in R", identify the domain and codomain of each of the following transformations. A:R ВА: R В:R AB:R + R Explain why AB + BA. Your explanation must be based on interpreting AB, BA as transformations. (This
Suppose A is a 2 × 4 matrix, and B is a 4 × 2 matrix. Assuming that A, B act on vectors in R", identify the domain and codomain of each of the following transformations. A:R ВА: R В:R AB:R + R Explain why AB + BA. Your explanation must be based on interpreting AB, BA as transformations. (This
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Suppose A is a 2 × 4 matrix, and B is a 4 × 2 matrix. Assuming that A, B act on vectors in R", identify the
domain and codomain of each of the following transformations.
A:R
ВА: R
В:R
AB:R
+ R
Explain why AB + BA. Your explanation must be based on interpreting AB, BA as transformations. (This
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