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Please explain all your answers in detail and show your work to receive full credit. 3. Find the standard matrix for the linear transformation T

Please explain all your answers in detail and show your work to receive full credit.

3. Find the standard matrix for the linear transformation T (x, y, Z) = (2x, x + y)4. Is { (1, 2, 0) , (0, 1, -1), (1, 1, 2) linearly independent in R3 ? Why or why not

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