A transformation T is defined for each of the following items. Is T linear or not? Justify your answer. If T is linear, find its standard matrix [T]s. (a) T: R¹ R³ is defined by T (b) T: R² → R4 is defined by T X1 X2 x3 X4 (21) X2 = 3x1-5x3 + x4 4x2 7x3 + 3x4 4x1 +9x210x4 X15 X2+7 2x1 + 3x2 + 10 59

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