Question: Detail please. 1 0 0 0 [ Let T : R' - R3 be defined as T(r) = T (1, 12) = (21 - 2:12,

Detail please.

1 0 0 0 [ Let T : R' - R3 be defined as T(r) = T (1, 12) = (21 - 2:12, -21 + 312, 3x1 - 2.12). (a) Show that T is a linear transformation by obtaining standard matrix A. (b) Is T one-to-one linear transformation? (c) Does T map R" to IR3

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