Linear Algebra and Its Applications · Problem 3.2.18

Orthogonality — Gilbert Strang

Mathematics · cosines-projections-onto-lines

Problem

Draw the projection of

b

onto

a

and also compute it from

p = \hat{x}a

: ((a))

b = \begin{bmatrix}\cos\theta\\\sin\theta\end{bmatrix}

and

a = \begin{bmatrix}1\\0\end{bmatrix}

. ((b))

b = \begin{bmatrix}1\\1\end{bmatrix}

and

a = \begin{bmatrix}1\\-1\end{bmatrix}