If A, is a matrix of order 3 × 4 and B is a matrix such that A'B and BA' both are defined, then the order of B
3 × 4
3 × 3
4 × 4
4 × 3
If A is an 3 × 4 matrix and B is a matrix such that A'B and BA' both are defined, then size of B is.
and I is unit matrix of order 2 and a, b are arbitrary constants then (AI + bA)2 =
a2 I + ab A
a2I + 2 ab A
a2I + b2A
a2I + 2 ab A + b2A2
The matrix
Unitary
Orthogonal
nil potent
involutory
If K is a scalar and I is the unit matrix of order 3 then adj (KI) =
K3I
K2I
-K3I
-K2I
[ -8 3 ]
3 × 1
1 × 1
1 × 3
If A and B are two matrices such that.
AB = B and BA = A, then A2 + B2 =
2 A B
2 B A
A + B
A B
14
None of these
For 2 x 2 matrices A, B and I, if A + B = I and 2A - 2B = I, then A equals __________.
