(a) Suppose that A is an m x n real matrix. The function TAR → R™ defined by TA (x) = Ax, for all x ER is a linear trans

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A Suppose That A Is An M X N Real Matrix The Function Tar R Defined By Ta X Ax For All X Er Is A Linear Trans 1 (63.62 KiB) Viewed 52 times

(a) Suppose that A is an m x n real matrix. The function TAR → R™ defined by TA (x) = Ax, for all x ER is a linear transformation. Let A= -53 -69 53 75 77 -39 -27 -55 42 93 24 -76 82 -18 -17 -99 87 -39 -19 -16, To avoid typing errors, you can copy and past the following sequence of entries of A: -69, -39, 24, -99, 53, -27, -76, 87, 75, -55, 82, -39, 77, 42, -18, -19, -53, 93, -17, -16 Recall: the Maple notation for a vector bis < a,b,c>. ·()- Alternatively, you can copy your answer from your Maple worksheet and paste it to the answer box. T(x) = Recall: the Maple notation for a matrix and x = (b) Suppose now that the linear map T: R2 R³ is defined by, for all x = →>> a -10 -18 -17 -13 b e Then TA (x) = -10 21+ 12x2 -6 1-10 2 421-222 Enter the matrix M. in Maple syntax, in the box below such that T(x) = Mx for all x € R2, M= & B (2₂2) ER2 is << a,d >|< b,e >|< c, f »>.