SOLUTION: find the coefficient matrix and evalute its determinant. 9x-2y=15 3x+2y=5

Question 175934: find the coefficient matrix and evalute its determinant.
9x-2y=15
3x+2y=5
Found 2 solutions by stanbon, jim_thompson5910:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
find the coefficient matrix and evalute its determinant.
9x-2y=15
3x+2y=5
------------------
9...-2
3....2
-----------------
D = 18 - -6 = 24
=======================
Cheers,
Stan H.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Since the coefficients are 9,-2, 3, and 2, this means that the coefficient matrix is

Determinant:

Solved by pluggable solver: Finding the Determinant of a 2x2 Matrix

If you have the general 2x2 matrix:

the determinant is:

So this means that

Note: the vertical bars denote a determinant.

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So in this case the determinant of is:

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Answer:

So which means that the determinant of the matrix is 24

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