In these problems, all vectors are written as column vectors. Also, the following matrices...

In these problems, all vectors are written as column vectors. Also, the following matrices are referred to:

Let the linear mapping T have the matrix A.

a) Evaluate T(1, 0), T(0, 1), T(2, −1), T(−1, 1) and graph.

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b) Find the kernel of T, determine whether T is one−to−one, and find all x such that T(x) = (2, 3).

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c) Find the range of T and determine whether T maps V2 onto V2.