Question
Matrix $A =\left[a_{i j}\right]_{3 \times 3}$ defined such that :$
a_{i j}=\left\{\begin{array}{cc}
2 i+3 j, & i < j \\
5, & i=j \\
3 i-2 j, & i>j
\end{array}\right.$
Number of elements in matrix $A,$ having greater from $5 ?$

Answer

Here  $a_{11}=5, a_{12}=8, a_{13}=11$
$a_{21}=4, a_{22}=5, a_{23}=13$
$a_{31}=7, a_{32}=5, a_{33}=5$
$3$ elements having greater from $5.$

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

Integrating factor of the differntial equation $\cos\text{x}\frac{\text{dy}}{\text{dx}}+\text{y}\sin\text{x}=1$is:  
  1. $\sin\text{x}$
  2. $\sec\text{x}$
  3. $\tan\text{x}$
  4. $\cos\text{x}$ 
The function $f : R \rightarrow R$ defined by $f(x) = 6^x + 6^{|x|}$ is$:$
The general solution of the differential equation $\frac{d y}{d x}=\frac{x^2}{y^2}$ is
The projections of a line segment on x, y and z axes are 12, 4 and 3 respectively. The length and direction cosines of the line segment are:
  1. $13;\frac{12}{13},\frac{4}{13},\frac{3}{13}$
  2. $19;\frac{12}{19},\frac{4}{19},\frac{3}{19}$
  3. $11;\frac{12}{11},\frac{14}{11},\frac{3}{11}$
  4. $\text{None of these}$
If $\frac{\text{dy}}{\text{dx}}=3$ then y is equal to:
  1. 3x
  2. 0
  3. 3x + c
  4. $\frac{\text{x}}{3}+\text{c}$
The point on the curve $9y^2 = x^3,$ where the normal to the curve makes equal intercepts with the axes is:
The vector equation of the plane passing through $\vec{\text{a}},\ \vec{\text{b}},\ \vec{\text{c}},$ is $\vec{\text{r}}=\alpha\vec{\text{a}}+\beta\vec{\text{b}}+\gamma\vec{\text{c}}$, provided that,
  1. $\alpha+\beta+\gamma=0$
  2. $\alpha+\beta+\gamma=1$
  3. $\alpha+\beta=\gamma$
  4. $\alpha^2+\beta^2+\gamma^2=1$
If a line makes angles $\alpha,\beta,\gamma$ with the axis then $\cos 2\alpha+ \cos 2\beta +\cos 2\gamma=$
  1. -2
  2. -1
  3. 1
  4. 2
The signum function, $f: R \rightarrow R$ is given by $f(x)=\left\{\begin{array}{ll}1, & x>0 \\ 0, & x=0 \\ -1, & x<0\end{array}\right.$ is
A relation $R$ is defined on $Z$ as $a R b$ if and only if $a^2-7 a b+6 b^2=0$. Then, $R$ is