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Recent questions tagged eigen-value

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GATE EE 2007
The linear operation L(x) is defined by the cross product L(x) = b x X, where b=[0 1 0] and X=[xxx]' are three dimensional vectors. The 3 x 3 matrix M of this operation satisfies: L(x)=M (x1 x2 x3)' Then the eigen values of M are: (a) 0, +1,-1 (b) 1, -1, 1 (c) i, -i, 0 (d) i, -i, 1 [EE, GATE-2007, 2 marks]

Priyanshu Karmakar asked in Linear Algebra 11 hours ago

by Priyanshu Karmakar

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#Eigen Vectors
Find the eigen values and eigen vector of the following matrix????

Çșȇ ʛấẗẻ asked in Mathematical Logic Mar 21

by Çșȇ ʛấẗẻ

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GATE CSE 2023 | Question: 20
Let $A$ be the adjacency matrix of the graph with vertices $\{1,2,3,4,5\}.$ Let $\lambda_{1}, \lambda_{2}, \lambda_{3}, \lambda_{4}$, and $\lambda_{5}$ be the five eigenvalues of $A$. Note that these eigenvalues need not be distinct. The value of $\lambda_{1}+\lambda_{2}+\lambda_{3}+\lambda_{4}+\lambda_{5}=$____________

admin asked in Linear Algebra Feb 15

by admin

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DRDO CSE 2022 Paper 1 | Question: 2
Calculate the eigenvalues of matrix $M, M^{-1}, M^{2}$ and $M+2 I$ where \[M=\left[\begin{array}{cc} 4 & 5 \\ 2 & -5 \end{array}\right].\]

admin asked in Linear Algebra Dec 15, 2022

by admin

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#LinearAlgebra
Is this correct?

robinofautumn asked in Linear Algebra Nov 24, 2022

by robinofautumn

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TIFR system Science 2017 question 7
A circulant matrix is a square matrix whose each row is the preceding row rotated to the right by one element, e.g., the following is a 3 3 circulant matrix \begin{pmatrix} 1 & 2 & 3\\ 3 & 1 & 2\\ 2 & 3 & 1 \end{pmatrix} For any ... $j = \sqrt{−1}$ (d) A vector whose k-th element is $\sin h (2πk/n)$ (e) None of the above

analyse asked in Linear Algebra Nov 22, 2022

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Eigen Value Of A Matrix
For given Matrix: [ 1 2 3 1 5 1 3 1 1 ] Why does the sum of the eigen values of above matrix is the sum of diagonal elements of that matrix?

ryandany07 asked in Linear Algebra Sep 4, 2022

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TIFR CSE 2022 | Part A | Question: 8
Let $A$ be the $(n+1) \times(n+1)$ matrix given below, where $n \geq 1$. For $i \leq n$, the $i$-th row of $A$ has every entry equal to $2i-1$ and the last row, i.e., the $(n+1)$-th row of $A$ has every entry equal to $-n^2$ ... $A$ has rank $n$ $A^2$ has rank $1$ All the eigenvalues of $A$ are distinct All the eigenvalues of $A$ are $0$ None of the above

Lakshman Patel RJIT asked in Linear Algebra Sep 1, 2022

by Lakshman Patel RJIT

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Best Open Video Playlist for Eigenvalues and Eigenvectors Topic | Linear Algebra
Please list out the best free available video playlist for Eigenvalues and Eigenvectors Topic from Linear Algebra as an answer here (only one playlist per answer). We'll then select the best playlist and add to GO ... ones are more likely to be selected as best. For the full list of selected videos please see here

makhdoom ghaya asked in Study Resources Aug 15, 2022

by makhdoom ghaya

79 views

1 vote

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GATE-2014 EC
Which one of the following statements is NOT true for a square matrix A? If A is real symmetric, the eigen values of A are the diagonal elements of it. If all the principal minors of A are positive, all the eigen values of A are also positive. My question is what is “principal minors of A” ?

samarpita asked in Linear Algebra May 9, 2022

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Recent questions tagged eigen-value