Question

How do i solve this using matrices not systems of equations

Answer 1

The answer of the matrix equation will be $\left[\begin{array}{ccc}-2\\3\end{array}\right]$

What is Matrix ?

Matrices are known as the tables of numbers. The numbers are usually put into the big brackets. Matrices are given the 'orders', which describes the size of the matrices. The order is the number of rows 'by' the number of columns. For example: a 2 by 3 matrix has 2 rows and 3 columns.

Step-by-step explanation:

1.Find the inverse matrix of the equation

   $\left[\begin{array}{ccc}2&1\\1&2\end{array}\right]$

The inverse of this equation will be :

$\left[\begin{array}{ccc}2&-3\\-1&2\end{array}\right]$

2.Multiply it with $\left[\begin{array}{ccc}5\\4\end{array}\right]$

3.Multiply the rows of the first matrix with the columns of another

2×5+(-3)×4

(-1)×5+2×4

4.Simply each element

The answer will be $\left[\begin{array}{ccc}-2\\3\end{array}\right]$

To know more about Matrix, visit:

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