# linear transformation?

Let a be a fixed vector. Show that the transformation T(x) = a·x

is a linear transformation (whose output values are numbers).

### 1 Answer

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- ted sLv 71 month ago
T(bx + y) = a dot (b x + y) = b ( a dot x ) + a dot y = b T(x) + T(y) = T(b x ) + T(y)

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