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Recent questions tagged invertible-matrices

The number of right inverse for the matrix $\begin{bmatrix}1&-1&2\\2&-1&1\end{bmatrix}$

asked Apr 25, 2014 by sreemathi.v

1 answer

If $A$ is an invertible matrix and B is a matrix then

asked Apr 24, 2014 by sreemathi.v

1 answer

If $A=\begin{bmatrix}2&0&0\\0&2&0\\0&0&2\end{bmatrix}$ then $A^5=$

asked Apr 23, 2014 by sreemathi.v

1 answer

If $A$ and $B$ are two matrices such that $AB=B$ and $BA=A$ then $A^2+B^2=$

asked Apr 23, 2014 by sreemathi.v

1 answer

If a matrix A is such that $3A^3+2A^2+5A+I=0$ then its inverse is

asked Apr 23, 2014 by sreemathi.v

1 answer

The characteristic root of the matrix $\begin{bmatrix}1&0&0\\2&3&0\\4&5&6\end{bmatrix}$ are

asked Nov 25, 2013 by sreemathi.v

1 answer

Let $A=\begin{vmatrix}5 &5\alpha&\alpha\\0&\alpha&5\alpha\\0&0&5\end{vmatrix}$ if $\mid A^2\mid=25$ then $\alpha$ equals

asked Nov 21, 2013 by sreemathi.v

1 answer

If $A$ and $B$ are square matrices of size $n\times n$ such that $A^2-B^2=(A-B)(A+B)$ then which of the following will be always true?

asked Nov 21, 2013 by sreemathi.v

1 answer

Let $\omega\neq 1$ be a cube root of unity and $S$ be the set of all non-singular matrices of the form $\begin{vmatrix}1&a&b\\\omega&1&c\\\omega^2&\omega&1\end{vmatrix}$ where each of a,b and c is either $\omega$ or $\omega^2$.Then the number of distinct matrices in the set S is

asked Nov 20, 2013 by sreemathi.v

1 answer

The number of $3\times 3$ matrices A whose entries are either 0 or 1 and for which the system $A=\begin{bmatrix}x\\y\\z\end{bmatrix}=\begin{bmatrix}1\\0\\0\end{bmatrix}$ has exactly two distinct solution is

asked Nov 20, 2013 by sreemathi.v

1 answer

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