00:01
Hello everyone, in this problem we are given with the matrices of a and the adjoint of a.
00:06
Now we need to find the determinant of a.
00:09
So by the property, suppose a is a matrix of size n by n, then we can have the determinant of the adjoint of a as the determinant of a the whole power n minus 1.
00:40
So here we are given with the matrix a which is of size 3 cross 3, sorry 3 by 3 matrix and the adjoint of the matrix is given here.
00:51
So now we can find the determinant of adjoint of the given matrix a to be the determinant of a power n minus 1.
01:05
So here it is of determinant of a power n minus 1 substituting the value of n to be 3 it is of minus 2.
01:13
So determinant of a power 2.
01:19
So now taking the determinant for this matrix it would become minus 2 of here it is of 1 minus 5, 11, 5 minus 4 of determinant of 7 minus 5 minus 13 and 5 plus of 10 of the determinant 7, 1 minus 13, 11.
01:50
So now taking the determinant for all these values minus 2 multiplied by 5 plus 55 minus 4 multiplied by 35 minus 65 plus 10 multiplied by 77 plus 13...