How do you solve #[(2x+y),(x-3y)]=[(5), (13)]#?
Create and augmented matrix and the perform row operations until you obtain an identity matrix on the left of the divide.
The matrix of coefficients is:
The matrix of constant terms is:
The method that I use is to make an Augmented Matrix
We have obtained an identity matrix.
The values of the unknowns can be read on the right:
The answer is
We rewrite the equation in matrix form
We start by calculating
the matrix of cofactor
Then, we calculate the transpose
The inverse is