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Mathematics
List of top Mathematics Questions on Invertible Matrices
If A is a non-identity invertible symmetric matrix, then
\(A^{-1}\)
is:
CUET (UG) - 2023
CUET (UG)
Mathematics
Invertible Matrices
Which of the following matrices can NOT be obtained from the matrix
\(\begin{bmatrix} -1 &2 \\ 1 & -1 \end{bmatrix}\)
by a single elementary row operation?
JEE Main - 2022
JEE Main
Mathematics
Invertible Matrices
The number of matrices of order 3 × 3, whose entries are either 0 or 1 and the sum of all the entries is a prime number, is _________.
JEE Main - 2022
JEE Main
Mathematics
Invertible Matrices
If A and B are invertible matrices then which of the following is not correct ?
KCET - 2021
KCET
Mathematics
Invertible Matrices
The inverse of the matrix
$\begin{bmatrix}2&5&0\\ 0&1&1\\ -1&0&3\end{bmatrix} $
is
KCET - 2019
KCET
Mathematics
Invertible Matrices
If matrix
\[ A = \begin{bmatrix} 3 & -2 & 4 \\ 1 & 2 & -1 \\ 0 & 1 & 1 \end{bmatrix}, \quad \text{and} \quad A^{-1} = \frac{1}{k} \, \text{adj}(A), \]
then \(k\) is:
BITSAT - 2018
BITSAT
Mathematics
Invertible Matrices
If
$A = \begin{bmatrix}2&-2\\ -2&2\end{bmatrix}$
then
$A^n = 2^k A,$
where k =
KCET - 2018
KCET
Mathematics
Invertible Matrices
If $A$ is a square matrix of order 3 , then | adj $\left(\operatorname{adj} A^{2}\right) \mid$ is equal to
EAMCET - 2015
EAMCET
Mathematics
Invertible Matrices
If $A = \begin{bmatrix}1&1\\ 1&1\end{bmatrix}$ then $A^{100}$ :
BITSAT - 2014
BITSAT
Mathematics
Invertible Matrices
If
$a.b = a.c$
and
$a \times b = a \times c$
, then correct statement is
BITSAT - 2012
BITSAT
Mathematics
Invertible Matrices
The number of
$3 \times 3$
non-singular matrices with four entries as
$1$
and all other entries as
$0$
is
AIEEE - 2009
AIEEE
Mathematics
Invertible Matrices
Let A=$\begin{bmatrix} 1 & 3 & 2 \\ 2 & 5 &t \\ 4&7-t&-6 \\ \end{bmatrix}$, then the values of t for which inverse of A does not exist
VITEEE - 2006
VITEEE
Mathematics
Invertible Matrices
The inverse of the matrix $\begin{bmatrix} {5}&{-2}\\ {3}&{1}\\ \end{bmatrix}$ is is
KCET - 2005
KCET
Mathematics
Invertible Matrices
Two matrices A and B are multiplicative inverse of each other only if
Mathematics
Invertible Matrices
The inverse of a symmetric matrix is :
Mathematics
Invertible Matrices