Then sum of the products of the elements of any row of a determinant A with the co-factors of the corresponding elements is equal to
1
0
|A|
1/2 [A]
then A12 is.
and I is the unit matrix of order 2, then A2 equals
4 A - 3 I
3 A - 4 I
A- I
A + I
a ( x + y + z )
abc + xyz + pqr
a ( x + y + z ) + b ( p + q + r ) + c
If A and B are any two matrices that AB = 0 and A is non- singular, then_________________.
B = 0
B is singular
B is non singular
B =A
If f(x) = x2 - 5 x , A = , then f(A) is equal to
for x ≠ 0, y ≠ 0, then D is
divisible by neither x nor y
divisible by x but not y
divisible by y but not x
divisible by both x and y
If A and B are square matrices of the same order such that (A+B) (A-B) = A2 - B2, then (ABA-1)2 is equal to
B2
I
A2B2
A2
If A is a scalar matrix with scalar K = 10 of order 3, then A-1 is______________.
KI
If A and B are two matrices such that AB =B and BA = A , then A2+B2=
2AB
2BA
A+B
AB
