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1. Is the following function a linear transformation? f: R 4 R 3 x 1 x 2 x 3 x 4 x 1 x 2

1. Is the following function a linear transformation?

f: R⁴ R³

x1x2x3x4x1x22x3x41

2. You are told that T: R2 R2 is a linear transformation.

Moreover, let a=(12) and b=(11) .

Assume we know that T(a) = b , and T( b) = a. Find the standard matrix of T.

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