Question: Let T : R^2 R^3 be a function defined by: T (a, b) = (2a 3b, a + 2b + 1, 5a 2b) . Determine

Let T : R^2 R^3 be a function defined by: T (a, b) = (2a 3b, a + 2b + 1, 5a 2b) .

Determine whether T is a linear transformation or not.

Let S = {(3, 4, 5), (1, 2, 7)} a subset of R^3 .

Determine whether the vector v = (4, 2, 3) is a vector in span(S).

need help with explanation please.

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