Let T: M22 R be the linear transformation defined by T(A) = tr(A). (a) Which, if any,
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(a) Which, if any, of the following matrices are in ker(T)?
(i)
(ii)
(iii)
(b) Which, if any, of the following scalars are in range(T)?
(i) 0
(ii) 2
(iii) 2
(c) Describe ker(T) and range(T).
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