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System of Linear Equations - Matrix Inversion

A = \begin{bmatrix} -188.8364 & -11.0818 & -24.5465 \\ 28.8335 & 15.3411 & 17.0047 \\ -36.7352 & 4.9271 & 5.958 \end{bmatrix}

C = \begin{bmatrix} 36.9253 \\ 80.837 \\ 4.464 \end{bmatrix}

A ⋅ X = C

\text{Find } A^{-1}

a:

\begin{bmatrix} -0.0072 & 0.0735 & -1.1089 \\ 1.1822 & 0.294 & -1.6512 \\ -1.0171 & -1.1637 & 1.5295 \end{bmatrix}

Explanation

Explanation

b:

\begin{bmatrix} -1.1008 & 1.405 & -0.1809 \\ 1.0822 & 1.2074 & -0.2502 \\ -0.0771 & -0.3457 & 0.5915 \end{bmatrix}

Explanation

Explanation

c:

\begin{bmatrix} -0.0008 & 0.0055 & -0.0189 \\ 0.0802 & 0.204 & -0.252 \\ -0.071 & -0.1347 & 0.2595 \end{bmatrix}

Explanation

Explanation

d:

\begin{bmatrix} -0.0108 & 1.0571 & -0.0869 \\ 1.0180 & 0.2514 & -1.505 \\ -0.714 & -1.5147 & 0.2957 \end{bmatrix}

Explanation

Explanation

Consider the values from Question 1.

X = A^{-1} \cdot C

Find X.

a:

\begin{bmatrix} 8.3107 \\ 16.1273 \\ -19.5932 \end{bmatrix}

Explanation

Explanation

b:

\begin{bmatrix} -2.0737 \\ 21.2832 \\ -10.1352 \end{bmatrix}

Explanation

Explanation

c:

\begin{bmatrix} 6.3907 \\ 11.7522 \\ -17.5012 \end{bmatrix}

Explanation

Explanation

d:

\begin{bmatrix} 0.3307 \\ 18.3272 \\ -12.352 \end{bmatrix}

Explanation

Explanation