17 lines
409 B
TeX
17 lines
409 B
TeX
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\subsection{Problem 11}
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Compute the LU factorization for
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\begin{equation*}
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\matr{A} =
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\begin{bmatrix}
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\phantom{-}1 & \phantom{-}3 & 3 & 2 \\
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\phantom{-}2 & \phantom{-}6 & 9 & 5 \\
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-1 & -3 & 3 & 0
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\end{bmatrix}
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\end{equation*}
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Determine a set of basic variables and a set of free variables, and find a homogeneous solution to $\mathbf{Ax = 0}$. What is the rank of $\mathbf{A}$?
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