### Matrix and Determinant

A square matrix all of whose elements except the main diagonal are zeros is called a

Square matrix A for which A^{t} = -A is called

The transpose of a column matrix is a :

This matrix is a $\left[\begin{array}{ccc}6& 0& 0\\ 0& 1& 0\\ 0& 0& 6\end{array}\right]$

A matrix whose each element is zero is called a :

The transpose of a square matrix is a :

This matrix is $\left[\begin{array}{ccc}1& 0& 0\\ 0& 1& 0\\ 0& 0& 1\end{array}\right]$

This matrix is a _______

$\left[\begin{array}{c}1\\ 2\\ 3\end{array}\right]$

Matrices are represented by :

The determinant of identity matrix is :

The order of a matrix [2 5 7] is

If A is a symmetric matrix, Then A^{t} =

For any non singular matrix A, A^{-1}

[a b c] is a

The transpose of a square matrix is a

The transpose of a column matrix is

The transpose of a rectangular matrix is a

Matrices obtained by chainging row and columns is called

A Matrix having m rows and n columns with m = n is said to be a

The additive inverse of a matrix A is

^{2}

If |A| = 0, then A is

In a matrix multiplication for A and B, (AB)^{t}

^{t}B

^{t}

^{t}A

^{t}

If AB exists, Then (AB)^{-1} is

^{-1}B

^{-1}

^{-1}A

^{-1}

Equations having a common solution are called

Two matrices A and B are multiplied to get AB if

If |A| = 0, then A is

If A is a symmetric matrix, then At =

If A is a matrix of order m x n and B is a matrix of order n x p then order of AB is

If |A| ≠ 0, then A is

If A is a skew symmetric matrix, then A^{t}