A matrix which is not a square matrix is called a_________matrix.

(a)

singular

(b)

non-singular

(c)

non-square

(d)

rectangular

The value of \(\left| \begin{matrix} x+1 & x+2 & x+a \\ x+2 & x+3 & x+b \\ x+3 & x+4 & x+c \end{matrix} \right| \) =_____________ 0, where a, b, c are in AP is 

(a)

(x+1)(x+2)(x+3)

(b)

I

(c)

0

(d)

(x+a)(x+b)(x+c)

The value of\(\left| \begin{matrix} 1 & 1 & 1 \\ 1 & 1+sin\theta & 1 \\ 1 & 1 & 1+cos\theta \end{matrix} \right| \) is _____________

(a)

3

(b)

1

(c)

2

(d)

\(\frac{1}{2}\)

If f(x) = \(\left| \begin{matrix} 0 & x-a & x-b \\ x+a & 0 & x-c \\ x+b & x+c & 0 \end{matrix} \right| \)  then _____________

(a)

f(a) = 0

(b)

f(b) = 0

(c)

f(0) = 0

(d)

f(1) = 0

Choose the correct statement

(a)

Matrix addition is not associative

(b)

Matrix addition is not commutative

(c)

Matrix multiplication is associative

(d)

Matrix multiplication is commutative