Question

Find the inverse matrix or type
"none". (Use decimals) [ 11 5 2 1 ]

Answer 1

it would be [1 -5 -2 11]
to solve this you swap the places of 1 and 4 and switch the signs from + to - OR - to + for 2 and 3.

Answer 2

The inverse of the given matrix is,

$=\begin{pmatrix}1&-5\\ -2&11\end{pmatrix}$

We have to determine

$\begin{pmatrix}11&5\\ 2&1\end{pmatrix}^{-1}$

What is the formula of inverse?

$\quad \begin{pmatrix}a\:&\:b\:\\ c\:&\:d\:\end{pmatrix}^{-1}=\frac{1}{\det \begin{pmatrix}a\:&\:b\:\\ c\:&\:d\:\end{pmatrix}}\begin{pmatrix}d\:&\:-b\:\\ -c\:&\:a\:\end{pmatrix}$

$=\frac{1}{\det \begin{pmatrix}11&5\\ 2&1\end{pmatrix}}\begin{pmatrix}1&-5\\ -2&11\end{pmatrix}$

determinant of the given matrix is 1.

$=\frac{1}{1}\begin{pmatrix}1&-5\\ -2&11\end{pmatrix}$

$=\begin{pmatrix}1&-5\\ -2&11\end{pmatrix}$

To learn more about the matrix visit:

https://brainly.com/question/1821869

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