Question: Determine whether the given functions is a linear transformation: X x ty +z 3. T : R3 -> R3 by T y = Z -

Determine whether the given functions is a linear transformation:

X x ty +z 3. T : R3 -> R3 by T y = Z - y -X Z xyz 2x - 2y + 5z 4. T : R3 - R2 by T = x + 2z Z9. T : F(-00, 00) - F(-00, 00) by T(f (x) ) = f (x) - 2.10. T : F(-co, 00) - F(-00, 00) by T(f (x)) = f ( x - 2). 11. T : Mmxn (R) - Maxm (R) by T(A) = AT. 12. T : Maxn (R) - R by T(A) = det (A)

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