Identity Matrix

Q. 46. The value of (i+\sqrt3)^{100+(i-\sqrt3)^{100+2^{100

Q. Which of the following is not an identity matrix

1. $\left[\begin{array}{cc}1& 0\\ 0& 1\end{array}\right]$
2. $\left[\begin{array}{ccc}1& 0& 0\\ 0& 1& 0\\ 0& 0& 1\end{array}\right]$
3. $\left[\begin{array}{ccc}1& 0& 0\\ 0& 0& 1\end{array}\right]$
4. $\left[\begin{array}{cccc}1& 0& 0& 0\\ 0& 1& 0& 0\\ 0& 0& 1& 0\\ 0& 0& 0& 1\end{array}\right]$

Q. Let $A=\left[\begin{array}{ccc}0& 0& -1\\ 0& -1& 0\\ -1& 0& 0\end{array}\right]$. The only correct statement about the matrix A is

1. A is a zero matrix
2. $A^2=I$
3. $A^{-1}$ does not exist.
4. A = (-1)I, where I is a unit matrix.

Q. The boolean expression $(p\wedge q)\vee \left(\right(\sim q)\vee p)$ is equivalent to

1. $\sim p\vee q$
2. $\sim q\vee p$
3. $p\vee q$
4. $(\sim p)\vee (\sim q)$

Q. evaluate \lim_{x→5} e^x-e^5÷ x-5

Q.

Which among the following can be called as identity matrix/matrices.

1. $\left[\begin{array}{cc}1& 0\\ 0& 1\end{array}\right]$

2. $\left[\begin{array}{cc}0& 1\\ 1& 0\end{array}\right]$

3. $\left[\begin{array}{cc}1& 1\\ 1& 1\end{array}\right]$

4. $\left[\begin{array}{ccc}1& 0& 0\\ 0& 1& 0\\ 0& 0& 1\end{array}\right]$

Q. If x square +x+1=0 then find the value of summasion of x^r +1÷x^r

Q. The minimum value for 2x^2 + 8/x^2 is equal to