Equal Matrices

Q.

If two matrices are equal, then their corresponding elements are equal. State true or false.

1. True

2. False

Q. All the non diagonal elements of a diagonal matrix are ______.

1. 1
2. 0
3. non-zero
4. 2

Q.

If $A=\left[\begin{array}{cc}3& x\\ 0& 1\end{array}\right]$ and $B=\left[\begin{array}{cc}9& 16\\ 0& -y\end{array}\right]$, $findxandywhen$ $A^2=B$.

1. x = 4 and y = −1

2. x = −4 and y = −1

3. x = 4 and y = 1

4. x = 4 and y = 2

Q.

If $A=\left[\begin{array}{cc}\alpha & 0\\ 1& 1\end{array}\right]$ and $B=\left[\begin{array}{cc}1& 0\\ 3& 1\end{array}\right],$ Then the value of $\alpha$ for which $A^2=B$ is

1. 1

2. -1

3. $i$

4. no real values of $\alpha$