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

Elementary Linear Algebra (MindTap Course List)
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Chapter6: Linear Transformations
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Problem 29CR: Use the standard matrix for counterclockwise rotation in R2 to rotate the triangle with vertices...
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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
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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