Determine which of the following transformations are linear

Question

Determine which of the following transformations are linear

2022-03-14 Answered

Determine which of the following transformations are linear transformations.

A. The transformation T defined by T(x1,x2,x3)=(1,x2,x3)T(x1,x2,x3)=(1,x2,x3)
B. The transformation T defined by T(x1,x2)=(2x1−3x2,x1+4,5x2)T(x1,x2)=(2x1−3x2,x1+4,5x2).
C. The transformation T defined by T(x1,x2)=(4x1−2x2,3|x2|)T(x1,x2)=(4x1−2x2,3|x2|).
D. The transformation T defined by T(x1,x2,x3)=(x1,x2,−x3)T(x1,x2,x3)=(x1,x2,−x3)
E. The transformation T defined by T(x1,x2,x3)=(x1,0,x3)

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nick1337

Answered 2022-03-24 Author has 510 answers

Option C and D is correct

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