(8 points) Question 13: Let $$A = \begin{bmatrix} 2 & 1 & -3 & 2 \\ 1 & 1 & 2 & 0 \\ 1 & 2 & 1 & 2 \\ \frac{1}{3} & \frac{2}{3} & 0 & \frac{2}{3} \end{bmatrix}$$ Find LU factorization of A (put details). Solution:
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We will use Gaussian elimination to transform A into an upper triangular matrix U. The multipliers used in the elimination process will form the lower triangular matrix L. Show more…
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