The determinant of the matrix A = [2,3,5
4,1,6
1,4,0] is determinant is A=|A|=[2,3,5
4,1,6
1,4,0].
Find the minor of the following elements
2,3,5
To find the minor of an element in a matrix, we need to remove the row and column containing that element and calculate the determinant of the resulting matrix.
For the element 2, we remove the first row and first column:
M = [1,6
4,0]
The determinant of M is calculated as:
|M| = (1*0) - (6*4) = 0 - 24 = -24
So, the minor of the element 2 is -24.
Similarly, we can find the minors for the elements 3 and 5. We remove the first row and second column for the element 3, and the first row and third column for the element 5.
For the element 3:
M = [4,6
1,0]
|M| = (4*0) - (6*1) = 0 - 6 = -6
The minor of the element 3 is -6.
For the element 5:
M = [4,1
1,4]
|M| = (4*4) - (1*1) = 16 - 1 = 15
The minor of the element 5 is 15.