Question
If A is a skew symmetric matrix, then ∣A∣ is
  1. 1
  2. -1
  3. 0
  4. none

Answer

  1. 0
Solution:
SINCE THE SKEW SYMMETRIC MATRIX CONSIST OF ELEMENTS OF OPPOSITE SIGN AT OPPOSITE SIDE OF MATRIX DIAGONAL WITH ALL THE DIAGONAL ELEMENTS AS ZERO THEREFORE THE DETERMINANT OF SKEW SYMMETRIC MATRIX IS ZERO.

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

If $\text{f(x)}=\log_{\text{x}^2}(\log\text{x}),$ the f(x) at x = e is:
  1. $0$
  2. $1$
  3. $\frac{1}{\text{e}}$
  4. $\frac{1}{2\text{e}}$
If A is a square matrix of order 3 and |A| = 5, then the value of |2A′| is:
  1. -10
  2. 10
  3. -40
  4. 40
The optimal value of the objective function is attained at the points
The corner points of the feasible region are A(0, 0), B(16, 0), C(8, 16) and D(0, 24). The minimum value of the objective function z = 300x + 190y is _______:
If $\vec{a}=\hat{i}+\hat{j}-\hat{k}$ then the value of $|\vec{a}|^2$ will be -
Out of the given matrices, choose that matrix which is a scalar matrix:
  1. $\begin{bmatrix}0&0\\0&0\end{bmatrix}$
  2. $\begin{bmatrix}0&0&0\\0&0&0\end{bmatrix}$
  3. $\begin{bmatrix}0&0\\0&0\\0&0\end{bmatrix}$
  4. $\begin{bmatrix}0\\0\\0\end{bmatrix}$
A set of values of decision variables that satisfies the linear constraints and non - negativity conditions of an L.P.P. is called its:
$\int\sqrt{\frac{\text{x}}{1-\text{x}}}\text{ dx}$ is equal to:
  1. $\sin^{-1}\sqrt{\text{x}}+\text{C}$
  2. $\sin^{-1}\Big\{\sqrt{\text{x}}-\sqrt{\text{x}(1-\text{x})}\Big\}+\text{C}$
  3. $\sin^{-1}\Big\{\sqrt{\text{x}(1-\text{x})}\Big\}+\text{C}$
  4. $\sin^{-1}\sqrt{\text{x}}-\sqrt{\text{x}(1-\text{x})}+\text{C}$
Let R be a relation on the set N given by R = {(a, b): a = b - 2, b > 6}. Then,
  1. (2, 4) ∈ R
  2. (3, 8) ∈ R
  3. (6, 8) ∈ R
  4. (8, 7) ∈ R
The region represented by the inequation system x, y ≥ 0, y ≤ 6, x + y ≤ 3 is:
  1. unbounded in first quadrant
  2. unbounded in first and second quadrants
  3. bounded in first quadrant
  4. none of these