If A and B are square matrices of the sameorder, then (A + B) (A - B) is equal to

1

(a)

A²-B²

(b)

A² - BA - AB - B²

(c)

A² - B² + BA - AB

(d)

A² - BA + B² + AB

If A is matrix of order m x nand B is a matrix such that AB' and B' A are both defined, then order of matrix B is

1

(a)

m x m

(b)

nxn

(c)

nxm

(d)

mxn

The matrix \(\left[\begin{array}{ccc}0 & -5 & 8 \\ 5 & 0 & 12 \\ -8 & -12 & 0\end{array}\right]\) is a

1

(a)

diagonal matrix

(b)

symmetric matrix

(c)

skew-symmetric matrix

(d)

scalar matrix

If matrix \(A=\left[a_{i j}\right]_{2 \times 2},\ where \ a_{i j}=\left\{\begin{array}{l}1, \text { if } i \neq j \\ 0, \text { if } i=j\end{array}\right.\) Then \(A^{2}\) is equal to 

1

(a)

I

(b)

A

(c)

0

(d)

None ofthese

For any two matrices A and B, we have

1

(a)

AB=BA

(b)

AB ≠BA

(c)

AB = 0

(d)

None of these