How do you solve # 6x+5y = 8# and #3x-y = 7# using matrices?
2 Answers
Explanation:
Given equations can be written as follows
Using matrix method, the solution can be written as
Explanation:
Put the coefficients of the equations into a matrix, and put the solutions into 1 column vector and the variables into another vector:
We now have the matrix equation:
If
We need to find
First find the determinant of
Determinant of
So determinant of:
Swap the elements on the leading diagonal and change the signs on the non-leading diagonal:
Next multiply by the reciprocal of the determinant:
We now have:
Hence: