For the square matrix $A$ of order $\mathbf{3} \times \mathbf{3}$ and $|A|=9$; $A_{21}=2$; $A_{22}=3$; $A_{23}=-1$; $a_{21}=1$; $a_{23}=2$, the value of $a_{22}$ is;

If $A$ is a row matrix of order $\mathbf{1} \times \mathbf{n}$ then order of $A^t A$ is:

For non-homogeneous system of equations; the system is inconsistent if;

For an element $a_{ij}$ of a square matrix A;

For a system of non-homogeneous equations with three variables system will have unique solution if;

If $A$ is any matrix then $A$ and $A^t$ are always comfortable for;

System of homogeneous linear equations has non-trivial solution if:

If $A$ is a square matrix of order $\mathbf{3} \times \mathbf{3}$ and $|A|=3$ then value of $|adjA|$ is;

If order of $A$ is $\mathbf{m} \times \mathbf{n}$ and order of $B$ is $\mathbf{n} \times \mathbf{p}$ then order of $AB$ is:

A system of non-homogeneous equation having infinite many solutions can be solving by using: