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Let ? be an ?×? matrix, and consider the equation ??⃗ = 0⃗. Show that for...

Let ? be an ?×? matrix, and consider the equation ??⃗ = 0⃗. Show that for any ?⃗ ∈ ℝ?, the solution of the equation ??⃗ = 0⃗ which minimizes the distance between ?⃗ and ?⃗ is given by ?⃗ = ?⃗ − ???⃗ where ????⃗ = ??⃗ .

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