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A = \begin{bmatrix} 683.262 & -147.8347 & -287.364 \\ -147.8347 & 420.7673 & -272.9326 \\ -287.364 & -272.9326 & 560.2966 \end{bmatrix}

Find the lower triangular matrix L given that L × L^T = A

\begin{bmatrix} 21.2193 & 0 & 0 \\ -9.4854 & 13.2185 & 0 \\ -16.9275 & -12.5562 & 16.1126\end{bmatrix}

Explanation

\begin{bmatrix} 26.1393 & 0 & 0 \\ -5.6557 & 19.7175 & 0 \\ -10.9936 & -16.9955 & 12.2716\end{bmatrix}

Explanation

\begin{bmatrix} 25.9733 & 0 & 0 \\ -2.5372 & 17.6726 & 0 \\ -13.3931 & -14.3551 & 17.1216\end{bmatrix}

Explanation

\begin{bmatrix} 22.8193 & 0 & 0 \\ -7.6373 & 12.1853 & 0 \\ -14.6463 & -17.3515 & 14.6811\end{bmatrix}

Explanation

\begin{bmatrix} 27.2085 & 0 & 0 \\ -6.0947 & 15.8594 & 0 \\ -10.4786 & -11.7723 & 12.6316 \end{bmatrix} × Z = \begin{bmatrix} 89.0378 \\ 80.1169 \\ 14.7205 \end{bmatrix}

Find the value of Z.

\begin{bmatrix} 3.2724 \\ 6.3093 \\ 9.7601 \end{bmatrix}

Explanation

\begin{bmatrix} 5.7124 \\ 8.0913 \\ 3.4701 \end{bmatrix}

Explanation

\begin{bmatrix} 6.2243 \\ 5.2393 \\ 6.7316 \end{bmatrix}

Explanation

\begin{bmatrix} 9.1424 \\ 7.3103 \\ 4.8401 \end{bmatrix}

Explanation

System of Linear Equations - Cholesky's Method