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Problem 2. Show that T is a linear transformation by finding a matrix that implements the...

Problem 2. Show that T is a linear transformation by finding a matrix that implements the mapping. Note that x1, x2, ... are not vectors but are entries in vectors.

(a) T(x1, x2, x3, x4) = (0, x1 + x2, x2 + x3, x3 + x4)

(b) T(x1, x2, x3, x4) = 2x1 + 3x3 − 4x4 (T : R4 → R)​

Please show T is a linear transformation for part (a) and (b).

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