Suppose that 7 R R is defined by T(x) A,x for each of the matrices listed below For each given matrix, answer the following questions For each matrix a Rewrite T i R n R m with correct numbers for m and n filled in for each matrix What is the domain of 7 What is the codomain of T b Find some way to explain in words and or graphically what each transformation does in taking vectors from R n to R m You might find it helpful to try out a few input vectors and see what their image is under the transformation This might be difficult, but an honest effort will give you credit c It the transformation onto That is, can you get any output vector (Any vector in R n ) i If so, explain why you can get any vector in R m If not, give an example of an output vector you can't get with the transformation and explain why

Question: Suppose that 7:RR is defined by T(x) = A,x for each of the matrices listed below. For each given matrix, answer the following questions: For

Suppose that 7:R"R" is defined by T(x) = A,x for each of the matrices listed below. For each given matrix, answer the following questions:

For each matrix:

a. Rewrite T_i: Rⁿ à R^m with correct numbers for m and n filled in for each matrix. What is the domain of 7? What is the codomain of T?

b. Find some way to explain in words and/or graphically what each transformation does in taking vectors from Rⁿto R^m. You might find it helpful to try out a few input vectors and see what their image is under the transformation. This might be difficult, but an honest effort will give you credit.

c. It the transformation onto? That is, can you get any output vector? (Any vector in Rⁿ) i. If so, explain why you can get any vector in R^m. If not, give an example of an output vector you can't get with the transformation and explain why.

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