Sample Quiz 8 Questions

• LPU decompose the following matrix:

$$M = \begin{bmatrix} 1 & 2 & 3 \cr 0 & 1 & 2 \cr 1 & 2 & 9 \end{bmatrix}$$

• Let $B$ be a symmetric 3×3 matrix (pick one yourself), and find an orthogonal basis for $B$.