Recent questions tagged eigen-value

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1 0 0 00 2 0 00 0 3 00 0 0 4As I know eigen values are 1,2,3,4.Where correspond Eigen value 1 Eigen vector are in terms of a,b,c,d b=02c=03d=0What will be Eigen vector?
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A 3× 3 real matrix has an eigen value i, then its other two eigen values can be(A) 0, 1. (B) -1, i.(C) 2i, -2i. (D) 0, -i.
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I have query if after putting eigen values in characteristic equation I got two row zero thn what will correspond eigen vector?
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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.
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139
A system matrix is given as follows.The absolute value of the ratio of the maximum eigenvalue to the minimum eigenvalue is _______
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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}$
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A 3X3 matrix P is such that, P^3 = P. Then the eigenvalues of P are:1) 1, 1, -12) 1, 0.5 + j0.866, 0.5 - j0.8663) 1, -0.5 + j0.866, -0.5 - j0.8664) 0, 1, -1
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$\begin{bmatrix} 4 & 1 \\ 1& 4 \end{bmatrix}$Eigen values of the matrix are:a) 3,-3b) -3, -5c) 3, 5d) 5 ,0
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Let $P = \begin{bmatrix}1 & 1 & -1 \\2 & -3 & 4 \\3 & -2 & 3\end{bmatrix}$ and $Q = \begin{bmatrix}-1 & -2 &-1 \\6 & 12 & 6 \\5 & 10 & 5\end{bmatrix}$ be two matrices.Th...