What is the determinant of the following matrix?
[5 -1]
[8 6]
To find the determinant of a 2x2 matrix, you can use the following formula:
determinant = (a*d) - (b*c)
Given the matrix:
[5 -1]
[8 6]
We have:
a = 5, b = -1, c = 8, and d = 6
Applying the formula:
Determinant = (5 * 6) - (-1 * 8)
Determinant = 30 + 8
Determinant = 38
Therefore, the determinant of the given matrix is 38.
To find the determinant of a 2x2 matrix, you can use the formula:
det(A) = (a*d) - (b*c)
Let's apply this formula to the given matrix:
[5 -1]
[8 6]
Where a = 5, b = -1, c = 8, and d = 6.
Now, substituting these values into the formula, we get:
det(A) = (5 * 6) - (-1 * 8)
= 30 + 8
= 38
Therefore, the determinant of the given matrix is 38.