Linear Algebra and Its Applications · Problem 3.4.13

Orthogonality — Gilbert Strang

Mathematics · gram-schmidt-qr

Problem

Apply the Gram-Schmidt process to

a = \begin{bmatrix} 0 \\ 0 \\ 1 \end{bmatrix}, \quad b = \begin{bmatrix} 0 \\ 1 \\ 1 \end{bmatrix}, \quad c = \begin{bmatrix} 1 \\ 1 \\ 1 \end{bmatrix}

and write the result in the form

A = QR