Question: For problems 1 to 3 Let T: R2 R2 be the linear transformation given by T( ) = A, where 1. verify that and explain

For problems 1 to 3 Let T: R2 †’ R2 be the linear transformation given by T( ) = A, where
For problems 1 to 3 Let T: R2 †’ R2

1. verify that

For problems 1 to 3 Let T: R2 †’ R2

and explain why this means that the x-axis is mapped onto itself.
2. Verify that

For problems 1 to 3 Let T: R2 †’ R2

and explain why this means that the y-axis is mapped onto the line y = x/2.
3. Verify that

For problems 1 to 3 Let T: R2 †’ R2

and use this fact to give a geometric interpretation of the mapping.

2 0 2 0

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