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Recent questions tagged eigenvalues
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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 $\begin{Bmatrix} 2.00\\ 0.45 \end{Bmatrix}$
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Mar 1
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Linear Algebra
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jothee
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gatecivil2021set2
linearalgebra
matrices
eigenvalues
eigenvectors
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2
GATE2020 CE227
A $4 \times 4$ matrix $[P]$ is given below $[P] = \begin{bmatrix}0 &1 &3 &0 \\2 &3 &0 &4 \\0 &0 &6 &1 \\0 &0 &1 &6 \end{bmatrix}$ The eigen values of $[P]$ are $0, 3, 6, 6$ $1, 2, 3, 4$ $3, 4, 5, 7$ $1, 2, 5, 7$
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Feb 13, 2020
in
Linear Algebra
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jothee
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5.2k
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gate2020ce2
linearalgebra
matrices
eigenvalues
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3
GATE201613
If the entries in each column of a square matrix $M$ add up to $1$, then an eigenvalue of $M$ is $4$ $3$ $2$ $1$
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Mar 28, 2018
in
Linear Algebra
by
Milicevic3306
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11.9k
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gate2016ce1
linearalgebra
matrices
eigenvalues
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4
GATE2017 CE1: 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.
asked
Mar 26, 2018
in
Linear Algebra
by
Milicevic3306
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11.9k
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gate2017ce1
linearalgebra
matrices
eigenvalues
eigenvectors
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5
GATE2015228
The two Eigen values of the matrix $\begin{bmatrix} 2 & 1 \\ 1 & p \end{bmatrix}$ have a ratio of $3:1$ for $p=2$. What is another value of $p$ for which the Eigen values have the same ratio of $3:1$? $2$ $1$ $7/3$ $14/3$
asked
Mar 26, 2018
in
Linear Algebra
by
Milicevic3306
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11.9k
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gate2015ce2
linearalgebra
matrices
eigenvalues
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6
GATE2015126
The smallest and largest Eigen values of the following matrix are: $\begin{bmatrix} 3 & 2 & 2 \\ 4 & 4 & 6 \\ 2 & 3 & 5 \end{bmatrix}$ $1.5$ and $2.5$ $0.5$ and $2.5$ $1.0$ and $3.0$ $1.0$ and $2.0$
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Mar 26, 2018
in
Linear Algebra
by
Milicevic3306
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11.9k
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gate2015ce1
linearalgebra
matrices
eigenvalues
0
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0
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7
GATE201414
The sum of Eigen values of the matrix, $[M]$ is where $[M] = \begin{bmatrix} 215 & 650 & 795 \\ 655 & 150 & 835 \\ 485 & 355 & 550 \end{bmatrix}$ $915$ $1355$ $1640$ $2180$
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Mar 26, 2018
in
Linear Algebra
by
Milicevic3306
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11.9k
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gate2014ce1
linearalgebra
matrices
eigenvalues
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8
GATE Civil 2012  Question: 28
The eigenvalues of matrix $\begin{bmatrix} 9 & 5 \\ 5 & 8 \end{bmatrix}$ are $2.42$ and $6.86$ $3.48$ and $13.53$ $4.70$ and $6.86$ $6.86$ and $9.50$
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Mar 25, 2018
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Linear Algebra
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Milicevic3306
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11.9k
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gate2012ce
linearalgebra
matrices
eigenvalues
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1
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9
GATE2018 CE2: 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
asked
Feb 17, 2018
in
Linear Algebra
by
gatecse
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4k
points)
gate2018ce2
linearalgebra
matrices
eigenvalues
eigenvectors
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