17 lines
528 B
TeX
17 lines
528 B
TeX
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\subsection{Problem 8}
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Let
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\begin{equation*}
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\matr{A} =
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\begin{bmatrix}
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\phantom{-}1 & -1 & \phantom{-}0 & \phantom{-}0 \\
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-1 & \phantom{-}2 & -1 & \phantom{-}0 \\
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\phantom{-}0 & -1 & \phantom{-}2 & -1 \\
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\phantom{-}0 & \phantom{-}0 & -1 & \phantom{-}2
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\end{bmatrix}
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\end{equation*}
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Check whether the symmetric matrix $\mathbf{A}$ is positive-definite. If so, apply the Cholesky factorization. Then, compute its inverse.
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\lstinputlisting[style=Matlab-editor]{problems/Problem8.m}
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