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| Sample Quiz 8 Questions | Sample Quiz 8 Questions | ||
| * LPU decompose the following matrix: | * LPU decompose the following matrix: | ||
| - | $$B = \begin{bmatrix} 1 & 2 & 3 \cr 4 & 5 & 6 \cr 7 & 8 & 9 \end{bmatrix}$$ | + | $$M = \begin{bmatrix} 1 & 2 & 3 \cr 0 & 1 & 2 \cr 1 & 2 & 9 \end{bmatrix}$$ |
| - | * Find an orthogonal basis for $B$. | + | * Let $B$ be a symmetric 3x3 matrix (pick one yourself), and find an orthogonal basis for $B$. |