Question
 

 Evaluate $\begin{bmatrix}1&0&1\\0&0&1\\1&0&1\end{bmatrix}$ is:

  1. 2
  2. 0
  3. 1
  4. -1

Answer

  1. 0

Solution:

$\triangle=\begin{bmatrix}1&0&1\\0&0&1\\1&0&1\end{bmatrix}$

$​​\triangle=1\begin{bmatrix}0&1\\0&1\end{bmatrix}-0\begin{bmatrix}0&1\\1&1\end{bmatrix}+1\begin{bmatrix}0&0\\1&0\end{bmatrix}$

$\triangle=1(0-0)-0(0-1)+1(0-0)$

$\triangle=0-0+0=0.$

 

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 value of $p$, so that the lines $\frac{1-x}{3}=\frac{7 y-14}{2 p}$ $=\frac{z-3}{2}$ and $\frac{7-7 x}{3 p}=\frac{y-5}{1}=\frac{6-z}{5}$ intersect at right angle, is
The equation $2{\cos ^{ - 1}}x + {\sin ^{ - 1}}x = \frac{{11\pi }}{6}$ has
${d \over {dx}}\left[ {{{\tan }^{ - 1}}{{\sqrt {1 + {x^2}} + \sqrt {1 - {x^2}} } \over {\sqrt {1 + {x^2}} - \sqrt {1 - {x^2}} }}} \right] = $
The probability that an automobile will be stolen and found within one week is 0.0006. The probability that an automobile will be stolen is 0.0015. The probability that a stolen automobile will be found in one week is:
The curve for which the slope of the tangent at any point is equal to the ratio of the abscissa to the ordinate of the point is:
  1. An ellipse
  2. Parabola
  3. Circle
  4. Hyperbola
On Z an operation * is defined by a * b = a2 + b2 for all a, b ∈ Z. The operation * on Z is:
  1. Commutative and associative.
  2. Associative but not commutative.
  3. Not associative.
  4. Not a binary operation.
The shortest distance of the point $(a, b, c)$ from the $x$ - axis is
Perpendicular distance of the point $(3, 4, 5)$ from the $y$ - axis, is
Choose the correct answer from the given four options.

Solution of the differential equation $\frac{\text{dy}}{\text{dx}}+\frac{\text{y}}{\text{x}}=\sin\text{x}$ is:

  1. $\text{x}(\text{y}+\cos\text{x})=\sin\text{x}+\text{c}$

  2. $\text{x}(\text{y}-\cos\text{x})=\sin\text{x}+\text{c}$

  3. $\text{x}\text{y}\cos\text{x}=\sin\text{x}+\text{c}$

  4. $\text{x}(\text{y}+\cos\text{x})=\cos\text{x}+\text{c}$

If the shortest distance between the lines $\frac{x+2}{2}=\frac{y+3}{3}=\frac{z-5}{4}$ and $\frac{x-3}{1}=\frac{y-2}{-3}=\frac{z+4}{2}$ is $\frac{38}{3 \sqrt{5}} \mathrm{k}$ and $\int_0^{\mathrm{k}}\left[\mathrm{x}^2\right] \mathrm{dx}=\alpha-\sqrt{\alpha}$, where $[\mathrm{x}]$ denotes the greatest integer function, then $6 \alpha^3$ is equal to ............................