Linear Algebra and Its Applications · Problem 3.4.14

Orthogonality — Gilbert Strang

Mathematics · gram-schmidt-orthonormal

Problem

From the nonorthogonal

a

b

c

, find orthonormal vectors

q_1

q_2

q_3

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