Question

find the inverse matrix or type none use decimals [3 2
4 1]

Answer 1

Answer:

none

Step-by-step explanation:

accellus

Answer 2

The inverse matrix or type none of the given matrix is given as $\rm A^{-1} = \dfrac{1}{-5}\begin{bmatrix}3& 4\\2 & 1 \\\end{bmatrix}$.

What is the matrix?

A matrix is a specific arrangement of items, particularly numbers. A matrix is a row-and-column mathematical structure. The a_{ij} element in a matrix, such as M, refers to the i-th row and j-th column element.

The matrix is given below.

$A = \begin{bmatrix}3& 2\\4 & 1 \\\end{bmatrix}$

Then the transpose of a will be

$\rm adj \ A = \begin{bmatrix}a_{11} & a_{21} \\a_{12} & a_{22} \\\end{bmatrix}\\\\\rm adj \ A = \begin{bmatrix}3& 4\\2 & 1 \\\end{bmatrix}$

Then the value of matrix A will be

$\rm \left| A \right|= \begin{vmatrix}3& 2\\4 & 1\end{vmatrix}\\\\\left| A \right|= 3*1 - 4*2\\\\|A| = -5$

Then the inverse matrix is defined as

A⁻¹ = Adj A / |A|

Then we have

$\rm A^{-1} = \dfrac{\begin{bmatrix}3& 4\\2 & 1 \\\end{bmatrix}}{-5}\\\\\\A^{-1} = \dfrac{1}{-5}\begin{bmatrix}3& 4\\2 & 1 \\\end{bmatrix}$

More about the matrix link is given below.

https://brainly.com/question/9967572

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