Download App

MATRICES — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsMATRICES1 Mark
Question
Choose the correct answer from the given four options.
The matrix $\begin{bmatrix}0&-5&8\\5&0&12\\-8&-12&0\end{bmatrix}$ is a:
  1. Diagonal matrix.
  2. Symmetric matrix.
  3. Skew-symmetric matrix.
  4. Scalar matrix.
✓

Answer

  1. Skew-symmetric matrix.

Solution:

We have $\text{B}=\begin{bmatrix}0&-5&8\\5&0&12\\-8&-12&0\end{bmatrix}$

$\Rightarrow\ \text{B}'=\begin{bmatrix}0&5&8\\-5&0&-12\\8&12&0\end{bmatrix}$

$=-\begin{bmatrix}0&-5&8\\5&0&12\\-8&-12&0\end{bmatrix}$

$=-\text{B}$

Since, B' = -B,

Thus, B is a skew-symmetric 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

Explore more

More "M.C.Q (1 Marks)" from MATRICES→MATRICES — all question types→Maths STD 12 Science question papers→Gujarat Board STD 12 Science question papers→Gujarat Board question paper generator→

Similar questions

If $f: R \rightarrow R$ is given by $f(x)=x+1$, then the value of $\lim _{n \rightarrow \infty} \frac{1}{n}\left[f(0)+f\left(\frac{5}{n}\right)+f\left(\frac{10}{n}\right)+\ldots+f\left(\frac{5(n-1)}{n}\right)\right]$, is:
→
A stone moving vertically upwards has its equation of motion $s = 490t - 4.9{t^2}$. The maximum height reached by the stone is
→
The number of solutions of the equations $x + 4y - z = 0,$ $3x - 4y - z = 0,\,x - 3y + z = 0$ is
→
If $\text{a},\text{b},\text{c}\in+\text{R}$ such that $\lambda\text{ abc}$ is the minimum value of a(b2 + c2) + b(c2 + a2) + c(a2 + b2), then $\lambda=$
  1. 1
  2. 3
  3. 4
  4. None of the above.
→
$Let g (x)$  be the inverse of an invertible function $f(x)$ which is differentiable at  $x = c, $ then $g'(f(c))$ equals
→
The nearest point on the curve $x^2=2 y$ to the point $(0,5)$ is ___________.
→
Function $y=x^2 e^{-x}$ is decreasing in which of interval :
→
If $f (\alpha)=\int_{1}^{\alpha} \frac{\log _{10} t}{1+t} d t, \alpha>0$, then $f \left( e ^{3}\right)+ f \left( e ^{-3}\right)$ is equal to.
→
One of the roots of the given equation $\left| {\,\begin{array}{*{20}{c}}{x + a}&b&c\\b&{x + c}&a\\c&a&{x + b}\end{array}\,} \right| = 0$ is
→
If $\int_{}^{} {{e^x}\sin x\;dx = \frac{1}{2}{e^x}\;.\;a + c} $, then $a = $
→