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