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Recent questions tagged eigen-vectors
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GATE Civil 2021 Set 2 | Question: 27
The smallest eigenvalue and the corresponding eigenvector of the matrix $\begin{bmatrix} 2 & -2 \\ -1 & 6 \end{bmatrix}$, respectively, are $1.55$ and $\begin{Bmatrix} 2.00\\ 0.45 \end{Bmatrix}$ $2.00$ ... and $\begin{Bmatrix} -2.55\\ -0.45 \end{Bmatrix}$ $1.55$ and $\begin{Bmatrix} 2.00\\ -0.45 \end{Bmatrix}$
go_editor
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Linear Algebra
Mar 1, 2021
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go_editor
5.3k
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gatecivil-2021-set2
linear-algebra
matrices
eigen-values
eigen-vectors
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2
GATE2017 CE-1: 28
Consider the matrix $\begin{bmatrix} 5 & -1 \\ 4 & 1 \end{bmatrix}$. Which one of the following statements is TRUE for the eigenvalues and eigenvectors of this matrix? Eigenvalue $3$ has a multiplicity of $2$, and only one independent ... has a multiplicity of $2$, and no independent eigenvector exists. Eigenvalues are $3$ and $-3$, and two independent eigenvectors exist.
Milicevic3306
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Linear Algebra
Mar 26, 2018
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Milicevic3306
11.9k
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gate2017-ce-1
linear-algebra
matrices
eigen-values
eigen-vectors
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1
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3
GATE2018 CE-2: 26
The matrix $\begin{pmatrix} 2 & -4 \\ 4 & -2 \end{pmatrix}$ has real eigenvalues and eigenvectors real eigenvalues but complex eigenvectors complex eigenvalues but real eigenvectors complex eigenvalues and eigenvectors
gatecse
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Linear Algebra
Feb 17, 2018
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gatecse
4.0k
points
gate2018-ce-2
linear-algebra
matrices
eigen-values
eigen-vectors
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