Question: Let T: M22 R be the linear transformation defined by T(A) = tr(A). (a) Which, if any, of the following matrices are in ker(T)? (i)

Let T: M22 †’ R be the linear transformation defined by T(A) = tr(A).
(a) Which, if any, of the following matrices are in ker(T)?
(i)
Let T: M22 †’ R be the linear transformation defined

(ii)

Let T: M22 †’ R be the linear transformation defined

(iii)

Let T: M22 †’ R be the linear transformation defined

(b) Which, if any, of the following scalars are in range(T)?
(i) 0
(ii) 2
(iii) ˆš2
(c) Describe ker(T) and range(T).

2 2

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