Qus : 1
2
If A and B are square matrices such that $B=-A^{-1} BA$, then $(A + B)^2$ is
1 $$0$$ 2 $$A^2+B^2$$ 3 $$A^2+2AB+B^2$$ 4 $$A+B$$ Go to Discussion
Solution Qus : 2
2 If A is an invertible skew-symmetric matrix, then
is a
1 Symmetric Matrix 2 Skew Symmetric Matrix 3 Zero Matrix 4 Identity Matrix Go to Discussion
Solution Qus : 3
3 If $F(\theta)=\begin{bmatrix}{\cos \theta} & {-\sin \theta} & {0} \\ {\sin \theta} & {\cos \theta} & {0} \\ {0} & {0} & {1}\end{bmatrix}$ , then $F(\theta)F(\alpha)$ is equal to
1 $F(\theta\alpha)$ 2 $F(\frac{\theta}{\alpha})$ 3 $F(\theta+\alpha)$ 4 $$F(\theta-\alpha)$$ Go to Discussion
Solution Qus : 6
1 If $A=\begin{bmatrix} a &b &c \\ b & c & a\\ c& a &b \end{bmatrix}$ , where $a, b, c$ are real positive numbers such that $abc = 1$ and $A^{T}A=I$ then
the equation that not holds true among the following is
1 $$a+b+c=1$$ 2 $$a^{2}+b^{2}+c^{2}=1$$ 3 $$ab+bc+ca=0$$ 4 $$a^{3}+b^{3}+c^{3}=4$$ Go to Discussion
Solution Qus : 7
2 If the matrix
has an inverse matrix, then the value of K is:
1 K is any real number 2 $K \ne -4$ 3 $K = -4$ 4 $K \ne 4$ Go to Discussion
Solution Qus : 8
4 1 $$
\begin{bmatrix} sinn \alpha & cosn \alpha \\ cosn \alpha & -sinn \alpha \end{bmatrix}
\quad
$$ 2 $$
\begin{bmatrix} cos n \alpha & sin n \alpha \\ sin n \alpha & cos n \alpha \end{bmatrix}
\quad
$$ 3 $$ \begin{bmatrix} cos nn \alpha & sinn \alpha \\ sinn \alpha & -cosn \alpha \end{bmatrix} \quad $$ 4 $$ \begin{bmatrix} cos nn \alpha & sinn \alpha \\ -sinn \alpha & cosn \alpha \end{bmatrix} \quad $$ Go to Discussion
Solution Qus : 9
4 If $f(x)=\left\{\begin{matrix} \frac{sin[x]}{[x]} &, [x]\ne0 \\ 0 &, [x]=0 \end{matrix}\right.$ , where [x] is the largest integer but not larger than x, then $\lim_{x\to0}f(x)$ is
1 -1 2 0 3 1 4 Does not exist Go to Discussion
Solution Qus : 10
4 A matrix $M_r$ is defined as $M_r=\begin{bmatrix} r &r-1 \\ r-1&r \end{bmatrix} , r \in N$ then the value of $det(M_1) + det(M_2) +...+ det(M_{2015})$ is
1 $2014^{2}$ 2 $2013^{2}$ 3 $2014$ 4 $2015^{2}$
Go to Discussion
Solution [{"qus_id":"3770","year":"2018"},{"qus_id":"3753","year":"2018"},{"qus_id":"4274","year":"2017"},{"qus_id":"9441","year":"2020"},{"qus_id":"10670","year":"2021"},{"qus_id":"11528","year":"2023"},{"qus_id":"10193","year":"2015"},{"qus_id":"10224","year":"2015"},{"qus_id":"10449","year":"2014"},{"qus_id":"10475","year":"2014"}]