Consider the following in respect of matrices A. B and C of same order :
Where A' is the transpose of the matrix A.
Which of the above are correct ?
1and 2 only
2 and 3 only
1 and 3 only
1, 2 and 3
C.
1 and 3 only
Therefore, statements 1 and 3 only are correct.
Let matrix B be the adjoint of a square matrix A, l be the identity matrix of same order as A. If k() is the determinant of the matrix A, then what is AB equal to ?
I
kI
k2I
Consider the following in respect of matrices A and B of same order :
1 only
2 only
both 1 and 2
neither 1 nor 2
If B is a non-singular matrix and A is a square matrix, then the value of det (B - 1 AB) is equal to
det(B)
det(A)