MCQ
Square matrix ${[{a_{ij}}]_{n \times n}}$ will be an upper triangular matrix, if
  • A
    ${a_{ij}} \ne 0$, for $i > j$
  • ${a_{ij}} =0 $, for $i > j$
  • C
    ${a_{ij}} = 0$, for $i < j$
  • D
    None of these

Answer

Correct option: B.
${a_{ij}} =0 $, for $i > j$
b
(b) ${[{a_{ij}}]_{n \times n}}$ square matrix is a upper triangular matrix for ${a_{ij}} = 0,i > j$.

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 $4\cos^{-1}\text{x}+\sin^{-1}\text{x}=\pi,$ then the value of x is:
  1. $\frac{3}{2}$
  2. $\frac{1}{\sqrt2}$
  3. $\frac{\sqrt3}{2}$
  4. $\frac{2}{\sqrt3}$
Let $\mathrm{f}: \mathrm{R}-\left\{\frac{-1}{2}\right\} \rightarrow \mathrm{R}$ and $\mathrm{g}: \mathrm{R}-\left\{\frac{-5}{2}\right\} \rightarrow \mathrm{R}$ be defined as $f(x)=\frac{2 x+3}{2 x+1}$ and $g(x)=\frac{|x|+1}{2 x+5}$. Then the domain of the function $fog$ is:
Let $f(x) = \left\{ \begin{array}{l}{x^p}\sin \frac{1}{x},x \ne 0\\0\,\,\,\,\,\,\,\,\,\,\,\,\,\,,x = 0\end{array} \right.$ then $f(x)$ is continuous but not differential at $x = 0$ if
If $f(x) = 2{x^6} + 3{x^4} + 4{x^2}$ then $f'(x)$ is
The value of $\int\limits_0^{\frac{\pi }{2}} {\sin \,8x\,\cot\, xdx\, + \int\limits_{ - \frac{\pi }{4}}^{\frac{\pi }{4}} {\ln \left( {\frac{{1 - \sin \,x}}{{1 + \sin \,x}}} \right)dx} } $ is equal to
On the interval $\left( {0,{\pi \over 2}} \right)$, the function $ log \,sin \,x $ is
z = 10x + 25y subject to $0\leq\text{X}\leq3$ and $0\leq\text{X}\leq3,$ $\text{x}+\text{y}\leq5$ then the maximum value of z is:
$\int\frac{\cos2\text{x}-\cos2\theta}{\cos\text{x}-\cos\theta}\text{dx}$  is equal to:
  1. $2(\sin\text{x}+\text{x}\cos\theta)+\text{c}$
  2. $2(\sin\text{x}-\text{x}\cos\theta)+\text{c}$
  3. $2(\sin\text{x}+2\text{x}\cos\theta)+\text{c}$
  4. $2(\sin\text{x}-2\text{x}\cos\theta)+\text{c}$
Choose the correct answer
The planes: 2x – y + 4z = 5 and 5x – 2.5y + 10z = 6 are:
  1. Perpendicular
  2. Parallel
  3. Intersect y-axis
  4. Passes through $\Big(0,\ 0,\ \frac{5}{4}\Big).$
Area bounded by the curve ${x^2} = 4y$ and the straight line $x = 4y - 2$ is