1.

Let us divide the coefficient matrix into this form: A=D+L+U. Which of these matrices can be L in this equation?

A. \(\begin{bmatrix}1 & 0 & 0 \\2 & 1 & 0 \\3 & 4 & 1\end{bmatrix}\)
B. \(\begin{bmatrix}0 & 0 & 0 \\2 & 0 & 0 \\3 & 4 & 0\end{bmatrix}\)
C. \(\begin{bmatrix}1 & 0 & 0 \\2 & 5 & 0 \\3 & 4 & 6\end{bmatrix}\)
D. \(\begin{bmatrix}1 & 0 & 0 \\0 & 2 & 0 \\0 & 0 & 3\end{bmatrix}\)
Answer» C. \(\begin{bmatrix}1 & 0 & 0 \\2 & 5 & 0 \\3 & 4 & 6\end{bmatrix}\)


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