Problem

Given a ∈ ℝ3, show that T(x) = (a · x)a is a linear transformation. (Hint: Write the right...

Given a ∈ ℝ3, show that T(x) = (a · x)a is a linear transformation. (Hint: Write the right-hand side using matrix notation and use the fact that ka = ak for a scalar k and vector a.)

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Solutions For Problems in Chapter 2.3