[11 ] Given the following system of linear equations: 3x, + 4x, = 2х, 2х, + X3 = -1. 2x, x, - 2x, + 4x, = 0 (a) Describe v, A and b if the convention used is y- A = b. (b) Determine the linear transformation T that A represents by the convention (v)T = v · A. (c) Find the standard matrix 4' of Tif the convention T(v) = A'-v is used instead. (d) Suppose that the system is consistent, investigate whether (-5,5,0) e Im T . (e) Suppose S:R' →R° is a linear transformation defined by S [y, +2y, + y,' Y, +5y, Determine the standard matrix C for S oT using the convention SoT(v) = C •v.

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