Consider the linear transformation T: R5 → R³ described below. X1 X2 T X3 X4 X5 2x1 + x2 - 6x3 + 7x5 -x1 + x2-3x4+x5 6x210x310x4 (a) Find the standard matrix A such that T(x) = Ax. (b) Determine if the transformation is one-to-one. (c) Determine if it maps onto R³.

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A: Here we will find matrix of linear transformation

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A: Given, Tx1x2x3=-6x1+x2+5x3-6x1+9x3

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A: Te1=1,3Te2=-5,4Te3=3,-2

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A: Solution:-

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