What is the determinant of the following matrix?
start 2 by 2 matrix first row first column 5 second column negative 1 second row first column 8 second column 6 end matrix
(1 point)
Responses
22
22
38
38
32
32
46
The determinant of the given matrix is -22.
To find the determinant of a 2x2 matrix, you can use the formula:
determinant = (a * d) - (b * c)
In this case, let's assign the values in the matrix as follows:
a = 5 (first row, first column)
b = -1 (first row, second column)
c = 8 (second row, first column)
d = 6 (second row, second column)
Now substitute these values into the formula:
determinant = (5 * 6) - (-1 * 8)
determinant = 30 + 8
determinant = 38
So, the determinant of the given matrix is 38.
To find the determinant of a 2x2 matrix, you can use the following formula:
Det(A) = (a*d) - (b*c)
Given the matrix:
|5 -1|
|8 6|
Let's plug the values into the formula:
Det(A) = (5 * 6) - (-1 * 8)
= 30 - (-8)
= 30 + 8
= 38
Therefore, the determinant of the given matrix is 38.