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Recent questions tagged linear-algebra

0 votes
0 answers 3 views
A hermitian matrix can be similar to a non hermitian matrix . (True or false)?
asked 4 days ago in Linear Algebra Eleph knaught 7 points 3 views
0 votes
0 answers 2 views
Let A be a 3x3 real matrix. Suppose 1 and -1 are two of the three Eigen values of A and 18 is one of the Eigen values of $A^2 + 3A$. Then. a) Both A and $A^2 + 3A$ are invertible b) $A^2 + 3A$ is invertible but A is not c) A is invertible but $A^2 + 3A$ is not d) Both A and $A^2 + 3A$ are not invertible
asked Sep 11 in Linear Algebra कुशाग्र गुप्ता 46 points 2 views
0 votes
0 answers 2 views
$\\ A\ is\ n*n \ matrix \ such \ that \ A^2=I \ and B \ is \ n*1 \ real \ \\vector \ then \ Ax=B \ has \\ \\ a) no \ solution \\ b) unique \ solution\\ c) infinitely \ many \ solution\\ d) none$
asked Sep 10 in Linear Algebra कुशाग्र गुप्ता 46 points 2 views
0 votes
0 answers 7 views
Find the value of $t$ for which the following matrix has rank $3$. $\begin{pmatrix} t & 1& 1& 1 \\ 1 & t & 1& 1 \\ 1 & 1 & t & 1 \\ 1 & 1 & 1 & t \end{pmatrix}$
asked Sep 7 in Linear Algebra Eleph knaught 7 points 7 views
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