If matrix where , then which one of the following is correct ?
A is hermitian
A is skew-hermitian
is hermitian
is skew-hermitian
If A is a matrix of order 3 × 5 and B is a matrix of order 5 × 3, then the order of AB and BA will respectively be
3 × 3 and 3 × 3
3 × 5 and 5 × 3
3 × 3 and 5 × 5
5 × 3 and 3 × 5
Under which condition, are the points (a, b), (c, d) and (a – c, b - d) collinear ?
ab = cd
ac = bd
ad = bc
abc = d
Consider the following in respect of a non-singular matrix of order
1) A (adj A) = (adj A) A
2) |adj A| = |A|
Which of the above statements is/are correct ?
1 only
2 only
Both 1 and 2
Neither 1 nor 2