MCQ
Which of the following is correct:
  • A
    Determinant is a square matrix
  • B
    Determinant is a number associated to a matrix
  • Determinant is a number associated to a square matrix
  • D
    None of these

Answer

Correct option: C.
Determinant is a number associated to a square matrix
Determinant is defined only for a square matrix.and its denotes the value of that square matrix.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

The plane $2\text{x}-(1-\lambda)\text{y}+3\lambda\text{z}=0$ passes through the intersection of the planes:
$\int_{}^{} {\frac{{\cos 2x}}{{{{(\cos x + \sin x)}^2}}}\;dx = } $
The equation of the line of shortest distance of the lines $\frac{{x - 6}}{3} = \frac{{y - 7}}{{ - 1}} = \frac{{z - 4}}{1}$ and $\frac{x}{{ - 3}} = \frac{{y + 9}}{2} = \frac{{z - 2}}{4}$
Which of the following is(are) $NOT$ the square of a $3 \times 3$ matrix with real entries ?

$[A]$ $\left[\begin{array}{ccc}1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & -1\end{array}\right]$

$[B]$ $\left[\begin{array}{ccc}-1 & 0 & 0 \\ 0 & -1 & 0 \\ 0 & 0 & -1\end{array}\right]$

$[C]$ $\left[\begin{array}{lll}1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1\end{array}\right]$

$[D]$ $\left[\begin{array}{ccc}1 & 0 & 0 \\ 0 & -1 & 0 \\ 0 & 0 & -1\end{array}\right]$

If $\text{x}=2\text{ at},\text{y}=\text{at}^2,$ where a is a constant, then $\frac{\text{d}^2\text{y}}{\text{dx}^2}\text{ at}\ \text{x}=\frac{1}{2}$ is :
If $f\left( x \right) = \frac{{2 - x\,\cos \,x}}{{2 + x\,\cos \,x}}$ and $g\left( x \right) = {\log _e}\,x$, $\left( {x > 0} \right)$ then the value of the integral $\int\limits_{\frac{{ - \pi }}{4}}^{\frac{\pi }{4}} {g\left( {f\left( x \right)} \right)} dx$ is
The relation $R$ is defined on the set of natural numbers as $\{(a, b) : a = 2b\}$. Then $\{R^{ - 1}\}$ is given by
The diameter of a circle is increasing at the rate of 1cm/sec. When its radius is $\pi$ the rate of increase of its area is:
If $4\,P(A) = 6\,P\,(B) = 10\,P\,(A \cap B) = 1,$ then $P\,\left( {\frac{B}{A}} \right) = $
A bag contains 5 red and 3 blue balls. If 3 balls are drawn at random without replacement, then the probability that exactly two of the three balls were red, the first ball being red, is