Let be defined by T : M 22 R be defined by T(A) = tr (A). (a)
Question:
(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) 5
(iii) -ˆš2
(c) Describe ker(T) and range(T).
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a Note that So Therefore matrices i and iii are in ker T but matrix ii is not ...View the full answer
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