- #1

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L(alpha A + beta B) = +(alpha A + I + beta B, I) and +(alpha A + I + beta B, I) = alpha A + beta B + 2*I

alpha L(A) + beta L(B) = alpha (A + I) + beta (B + I) and alpha (A + I) + beta (B + I) = alpha A + beta B + I (alpha + beta)

Are these steps correct for the linear transformation?

Since they aren't equal, it isn't a transformation.