SOLUTION: Please help me solve this problem. What percent of the time would the row player play row 1 in a mixed strategy for the following game matrix? 10 5 6 12

Question 389010: Please help me solve this problem.

What percent of the time would the row player play row 1 in a mixed strategy for the following game matrix?
10 5
6 12

Answer by haileytucki(390) (Show Source): You can put this solution on YOUR website!
M[10,5:6,12]
These are both valid notations for the determinant of a matrix.
detM[10,5:6,12]=M[D,10,5:6,12]
The determinant of a 2x2 matrix can be found using the formula M[D,a,b:c,d]=ad-cb
detM[10,5:6,12]=(10)(12)-(6)(5)
Simplify the determinant.
detM[10,5:6,12]=90
The determinant of M[10,5:6,12] is 90.
90

The determinant of matrix A is given by
det(A) = a*d - c*b

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