Types of Matrices

What is the determinant of a unit Matrix?

If $A=\left[\begin{array}{cc}3& -1\\ 2& 4\end{array}\right]; B=\left[\begin{array}{cc}1& 2\\ -3& 0\end{array}\right].$ Find $X$ such that $2X+3A-4B=I.$

If $A=\left[\begin{array}{cc}3& -1\\ 2& 4\end{array}\right]; B=\left[\begin{array}{cc}1& 2\\ -3& 0\end{array}\right].$ Find $X$ such that $2X+3A-4B=I.$

If $A=\left[\begin{array}{cc}2& 4\\ -1& -2\end{array}\right]$ then matrix $A^2$ is _______ matrix.

If $A$ is a square matrix of order $3,$$\left|A^{\text{'}}\right|=-3,$ then $\left|A{A}^{\text{'}}\right|=?$

Suppose $M=\left\{\left[\begin{array}{cc}a& b\\ c& d\end{array}\right] \overline{)a,b,c,d\in R}\right\}$ and $I_2=\left[\begin{array}{cc}1& 0\\ 0& 1\end{array}\right]$.

Define a relation $~$on $M$ as follows:

$A,B\in M, A~B$ if $AB=I_2,$ then 

Is Null matrix a triangular matrix.

Find $a,b,c\text{ and }d$ such that $\left[\begin{array}{cc}a-b& 2c+d\\ 2a-b& 2a+d\end{array}\right]=\left[\begin{array}{cc}5& 3\\ 12& 15\end{array}\right]$.

In a diagonal matrix can diagonal elements be zero or it is compulsory that diagonal elements should be non zero

Find the values of $a, b, c$ and $d$ from the following equation:

$\left[\begin{array}{cc}2a+b& a-2b\\ 5c-d& 4c+3d\end{array}\right]=\left[\begin{array}{cc}4& -3\\ 11& 24\end{array}\right]$

If $\left[\begin{array}{ccc}x+3& z+4& 2y-7\\ -6& a-1& 0\\ b-3& -21& 0\end{array}\right]=\left[\begin{array}{ccc}0& 6& 3y-2\\ -6& -3& 2c+2\\ 2b+4& -21& 0\end{array}\right]$

Find the values of $a, b, c, x, y$ and $z$.

Wihch of the following is a diagonal matrix.

Which of the following is a diagonal matrix.

Wihch of the following is a diagonal matrix.

Identify scalar matrix from the following matrices.

The order of the following row matrix $M=\left[\begin{array}{cc}\begin{array}{ccc}\begin{array}{ccc}a& b& c\end{array}& d& e\end{array}& f\end{array}\right]$ is $1\times 5$.

Which of the following represents a column matrix? 

The matrix $\left[\begin{array}{l}a\\ b\\ c\\ d\end{array}\right]$ represents a column matrix.

The matrix $\left[\begin{array}{lll}0& 0& 0\\ 0& 0& 0\\ 0& 0& 0\end{array}\right]$ represents a zero matrix.

If $\left[\begin{array}{cc}a+b& 2\\ 7& ab\\ -3& 4\end{array}\right]=\left[\begin{array}{cc}6& 2\\ 7& 8\\ -3& 4\end{array}\right]$, then