Recent questions tagged eigen-value

The eigen values of a skew-symmetric matrix are(a) Always zero (c) Either zero or pure imaginary(b) always pure imaginary (d) always realif a ma...

Consider the system of linear equations A(n*n)X(n*1) = λ(n*1) where λ is a scalar. Let (λi , Xi) be an eigen pair of an eigen value and its corresponding eigen vector for...

Consider a $3\times 3$ matrix with every element being equal to 1 , its only non-zero eigenvalue is ....? \begin{bmatrix} 1 & 1 &1 \\ 1 &1 &1 \\ 1 &1 &1 \end{bmatrix}$now...

This matrix is singular with rank one. Find three $λ$’s and three eigenvectors.$\begin{bmatrix}1\\2 \\1 \end{bmatrix}$ $\begin{bmatrix}2&1 &2 \end{bmatrix}$ = $\begin{bm...

For the first one I have got -28 and 11 as the answer but for the matrix C I am not able to get the value of element c32.c31 = c33 = 6.

Q1 Is it possible to have no Eigen vector corresponding to an Eigen value.Q2 Rank of a matrix is equal to the number of non-zero Eigen values that matrix has.{Explain wit...

A system matrix is given as follows.The absolute value of the ratio of the maximum eigenvalue to the minimum eigenvalue is _______

If we solve this we will get total 4 eigen vectors,but as we know that this is of 2 degree matrix so only 2 will exist.So can i say that from these four pairs by using na...

The condition for which the eigenvalues of the matrix $A=\begin{bmatrix} 2 & 1\\ 1 &k \end{bmatrix}$ are positive is$k \frac{1}{2}$$ k −2$$ k 0$$k< \frac{-1}{2}$

$\begin{bmatrix} 4 & 1 \\ 1& 4 \end{bmatrix}$Eigen values of the matrix are:a) 3,-3b) -3, -5c) 3, 5d) 5 ,0

The Eigen values of matrix are:a) ± cos∝b) ± sin ∝c) tan ∝ & cot ∝d) cos ∝ ± sin ∝