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Recent questions and answers in Linear Algebra

Recent questions and answers in Linear Algebra

0 votes
0 answers 3 views
Self doubt in matrices.
A hermitian matrix can be similar to a non hermitian matrix . (True or false)?
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
CSIR / UGC NET - Linear Algebra
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 [closed]
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
Gate 2007 - IN
$\\ A\ is\ n*n \ matrix \ such \ that \ A^2=I \ and B \ is \ n*1 \ real \ \\vector \ then \ Ax=B \ has \\ \\ a) no \ solution \\ b) unique \ solution\\ c) infinitely \ many \ solution\\ d) none$
$\\ A\ is\ n*n \ matrix \ such \ that \ A^2=I \ and B \ is \ n*1 \ real \ \\vector \ then \ Ax=B \ has \\ \\ a) no \ solution \\ b) unique \ solution\\ c) infinitely \ many \ solution\\ d) none$
asked Sep 10 in Linear Algebra कुशाग्र गुप्ता 46 points 2 views
0 votes
0 answers 7 views
Linear algebra by Fuzhen- Zhang
Find the value of $t$ for which the following matrix has rank $3$. $\begin{pmatrix} t & 1& 1& 1 \\ 1 & t & 1& 1 \\ 1 & 1 & t & 1 \\ 1 & 1 & 1 & t \end{pmatrix}$
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
0 votes
0 answers 3 views
Eigen Value of Symmetric Matrix vs Real Symmetric Matrix
Eigenvalues of Symmetric Matrix should be real and imaginary, but while I was doing previous I have seen, they(Gate Academy) have mentioned it to be real. Eigenvalues of REAL Symmetric Matrix are real. Please correct me if I am wrong.
asked Aug 19 in Linear Algebra nadeshseen 42 points 3 views
0 votes
1 answer 8 views
Nullity of a matrix
Answer is given as 1. Please show the solution. Thank you.
Answer is given as 1. Please show the solution. Thank you.
answered Aug 11 in Linear Algebra user2525 1.5k points 8 views
0 votes
1 answer 8 views
number of linearly independent eigen vectors
The number of linearly independent eigen vectors of $\begin{pmatrix} 2 & 1\\ 0 & 2 \end{pmatrix}$ The answer is 1. Please show the solution. Thank you.
The number of linearly independent eigen vectors of $\begin{pmatrix} 2 & 1\\ 0 & 2 \end{pmatrix}$ The answer is 1. Please show the solution. Thank you.
answered Aug 11 in Linear Algebra Satbir 2.1k points 8 views
0 votes
0 answers 5 views
Group theory - order of non abelian
Let G be a non abelian group, order of G can be 24 44 54 34 Can someone explain ?
Let G be a non abelian group, order of G can be 24 44 54 34 Can someone explain ?
asked Aug 8 in Linear Algebra user2525 1.5k points 5 views
0 votes
0 answers 6 views
#madeeasy testseries
Caption
Caption
asked Jul 20 in Linear Algebra Pradeep Verma 8 points 6 views
0 votes
1 answer 11 views
ace test series self doubt
Are eigen vectors linearly dependent if we get the same eigen values??Please explain through an example
Are eigen vectors linearly dependent if we get the same eigen values??Please explain through an example
answered Jul 10 in Linear Algebra Verma Ashish 214 points 11 views
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