Virtual Labs

Tools

System of Linear Equations - LU Decomposition

\begin{bmatrix} -111.2768 & -0.0541 & 17.3241 \\ -14.398 & 9.6024 & 7.0853 \\ 22.3052 & 7.1356 & -13.079 \end{bmatrix}

Find lower triangular matrix.

a:

\begin{bmatrix} 1 & 0 & 0 \\ 0.1314 & 1 & 0 \\ -0.2102 & 0.5291 & 1 \end{bmatrix}

Explanation

Explanation

b:

\begin{bmatrix} 1 & 0 & 0 \\ 0.0912 & 1 & 0 \\ -0.2031 & 0.8624 & 1 \end{bmatrix}

Explanation

Explanation

c:

\begin{bmatrix} 1 & 0 & 0 \\ 0.1417 & 1 & 0 \\ -0.1982 & 0.6117 & 1 \end{bmatrix}

Explanation

Explanation

d:

\begin{bmatrix} 1 & 0 & 0 \\ 0.1294 & 1 & 0 \\ -0.2004 & 0.7414 & 1 \end{bmatrix}

Explanation

Explanation

\begin{bmatrix} -111.2768 & -0.0541 & 17.3241 \\ -14.398 & 9.6024 & 7.0853 \\ 22.3052 & 7.1356 & -13.079 \end{bmatrix}

Find upper triangular matrix.

a:

\begin{bmatrix} -117.6278 & -0.1742 & 11.3423 \\ 0 & 7.9947 & 7.3751 \\ 0 & 0 & -18.2494 \end{bmatrix}

Explanation

Explanation

b:

\begin{bmatrix} -111.2768 & -0.0541 & 17.3241 \\ 0 & 9.6094 & 4.8437 \\ 0 & 0 & -13.1977 \end{bmatrix}

Explanation

Explanation

c:

\begin{bmatrix} -107.8217 & -1.4372 & 14.2413 \\ 0 & 4.9347 & 8.7351 \\ 0 & 0 & -9.1924 \end{bmatrix}

Explanation

Explanation

d:

\begin{bmatrix} -121.1283 & -1.7041 & 21.1541 \\ 0 & 13.6473 & 8.8751 \\ 0 & 0 & -7.1752 \end{bmatrix}

Explanation

Explanation