Question: Let be defined by T : M 22 R be defined by T(A) = tr (A). (a) Which, if any, of the following matrices are

Let be defined by T : M₂₂†’ R be defined by T(A) = tr (A).

(a) Which, if any, of the following matrices are in ker(T)?

(i)

Let be defined by T : M22 → R be

(ii)

3 -2 2 1

(iii)

3 -2 2 1

(b) Which, if any, of the following scalars are in range(T)?

(i) 0

(ii) 5

(iii) -ˆš2

3 -2 2 1

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a Note that So Therefore matrices i and iii are in ker T but matrix ii is not ... View full answer

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