What is the determinant of the following matrix?
[5 -1]
[8 6]
22
38
32
46
The determinant of the matrix is 38.
To find the determinant of a 2x2 matrix like the one given, you can use the following formula:
|A| = ad - bc
Where A is the matrix:
[a b]
[c d]
In this case, the matrix given is:
[5 -1]
[8 6]
Applying the formula, the determinant can be calculated as follows:
|A| = (5 * 6) - (-1 * 8)
|A| = 30 + 8
|A| = 38
Therefore, the determinant of the given matrix is 38.
To find the determinant of a 2x2 matrix, you multiply the elements on the main diagonal (top left to bottom right) and subtract the product of the elements on the off-diagonal (top right to bottom left).
For the given matrix:
[5 -1]
[8 6]
The determinant is calculated as follows:
(5 * 6) - (-1 * 8)
= 30 - (-8)
= 30 + 8
= 38
Therefore, the determinant of the matrix is 38.