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Recent questions tagged invertible-matrices
Questions
The number of right inverse for the matrix $\begin{bmatrix}1&-1&2\\2&-1&1\end{bmatrix}$
jeemain
math
class12
ch3
matrices
invertible-matrices
medium
asked
Apr 25, 2014
by
sreemathi.v
1
answer
If $A$ is an invertible matrix and B is a matrix then
jeemain
math
class12
ch3
matrices
invertible-matrices
medium
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 $A^5=$
jeemain
math
class12
ch3
matrices
invertible-matrices
medium
asked
Apr 23, 2014
by
sreemathi.v
1
answer
If $A$ and $B$ are two matrices such that $AB=B$ and $BA=A$ then $A^2+B^2=$
jeemain
math
class12
ch3
matrices
invertible-matrices
medium
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
jeemain
math
class12
ch3
matrices
invertible-matrices
medium
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
jeemain
math
class12
ch3
matrices
q11
invertible-matrices
difficult
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
jeemain
math
class12
ch3
matrices
q46
invertible-matrices
easy
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?
jeemain
math
class12
ch3
matrices
q43
invertible-matrices
easy
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
jeemain
math
ch3
class12
matrices
q28
invertible-matrices
easy
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
jeemain
math
ch3
class12
matrices
q27
invertible-matrices
easy
asked
Nov 20, 2013
by
sreemathi.v
1
answer
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