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For each of the following maps t m22 -rarr r decide


For each of the following maps T : M2,2 -→ R, decide whether T is a linear transformation, and prove your answer.

(a) The determinant map T = det.(b) The trace map T = tr.(c) The map T sending a matrix A to the length of its first column vector.

(b) The trace map T = tr.

(c) The map T sending a matrix A to the length of its first column vector.

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Mathematics: For each of the following maps t m22 -rarr r decide
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