(a) Compute the standard matrix for the linear transformation S : R4 → R³ given by Ꮖ ข = 3x + x + 2 w - 2x 6y 4z+6w 4x+6y6z - 6 w by computing transformations of the standard basic vectors. (b) Let TR2 R4 be the linear transformation given by the standard matrix −1 3 5 -1 1 -5 Compute T ([1]) by using the values of transformed standard basic vectors.

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