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Prove the given is a linear transformation

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Reference no: EM132587077

Question:

Prove/Disprove if the following is a linear transformation.

(a) T:R3 → M2(R) by 1709_matrix1.jpg

(b) T:P3 → P2 by T(y) = y' -2y

(c) T:P2 → P3 by T(ax2 + bx + c) = (3a +b)x3 + (b + 2c)x2 + (a +b)x + 3c

(d) T:R2 → R3 by2479_matrix2.jpg

 

Reference no: EM132587077

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