- #1

silvermane

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## Homework Statement

Which of the transformations are linear? If they are, then find the transformation matrix.

the input is v = (v1,v2)

a. t(v) = (v2,v1)

b. t(v) = (v1,v2)

c. t(v) = (0,v1)

d. t(v) = (0,1)

## The Attempt at a Solution

a. it is linear

b. it is linear

c. I think it is linear because we're going from R2 to R1 and not going to the origin.

d. I don't think this one is linear, because all values can't map to the same point.

Now, to find the transformation matrix A, I would like a helpful tip/hint/procedure for how to find the matrix A. I am having some difficulty understanding this concept, as it's not in the book and this part was added by the teacher.

Thank you for your help in advance! :)

(I'm off to bed, but will be back in the morning, hehe)