By applying inverse of a matrix, we find that the solution of the system of <em>linear</em> equations is (x, y) = (5/7, - 2/7).
<h3>How to solve a system of equation with inverse matrices</h3>
In linear algebra, systems of <em>linear</em> equations with a unique solution can be represented by the following expression:
(1)
Where:
- - Matrix of dependent constants.
- - Vector column of variables.
- - Vector column of independent constants.
The solution of such systems is defined by:
, where .
Where:
- - Determinant of the matrix of dependent constants.
- - Adjoint of the matrix of dependent constants.
For the case of , the inverse of is:
(2)
If we know that and , then the solution of the system of linear equations is:
By applying inverse of a matrix, we find that the solution of the system of <em>linear</em> equations is (x, y) = (5/7, - 2/7).
To learn more on inverse of matrices: brainly.com/question/4017205
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