3. Triangular Factorization

Solution. The matrix L will be constructed from an identity matrix placed at the left. For each row operation used to construct the upper-triangular matrix, the multipliers will be put in their proper place at the left. Start with:

Solution. The matrix L will be constructed from an identity matrix placed at the left. For each row operation used to construct the upper-triangular matrix, the multipliers will be put in their proper place at the left. Start with: