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Search results for eigen-vector
25
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GO Classes CS/DA 2025 | Weekly Quiz 4 | Linear Algebra | Question: 24
Let $A$ be a $3 \times 3$ matrix. Suppose that $A$ has eigenvalues $2$ and $-1,$ and suppose that $\mathbf{u}$ and $\mathbf{v}$ are eigenvectors corresponding to $2$ and $-1,$ ... ${\left[\begin{array}{c} 92 \\ -2 \\ 96 \end{array}\right]} $
Let $A$ be a $3 \times 3$ matrix. Suppose that $A$ has eigenvalues $2$ and $-1,$ and suppose that $\mathbf{u}$ and $\mathbf{v}$ are eigenvectors corresponding to $2$ and ...
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Linear Algebra
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GO Classes Test Series 2024 | Mock GATE | Test 13 | Question: 43
Let $A$ be a $2 \times 2$ matrix for which there is a constant $k$ such that the sum of the entries in each row and each column is $k$. Which of the following must be an eigenvector of $A?$ ... $\left[\begin{array}{l}1 \\ 1\end{array}\right]$. I only II only III only I and II only
Let $A$ be a $2 \times 2$ matrix for which there is a constant $k$ such that the sum of the entries in each row and each column is $k$. Which of the following must be an ...
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GO Classes
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Jan 28
Linear Algebra
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21
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2
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3
GO Classes CS/DA 2025 | Weekly Quiz 4 | Linear Algebra | Question: 3
Let $A$ be a $n \times n$ matrix, and let $u, v, w$ be nonzero vectors in $\mathbf{R}^n$ which are distinct $(\text{so}\; u \neq v, u \neq w$, and $v \neq w).$ Suppose $A u=2 u, \quad A v=2 v, \quad A w=-w$. Which one of the following vectors must be an eigenvector of $A?$ $u-v$ $v-w$ $u-w$ none of the above
Let $A$ be a $n \times n$ matrix, and let $u, v, w$ be nonzero vectors in $\mathbf{R}^n$ which are distinct $(\text{so}\; u \neq v, u \neq w$, and $v \neq w).$Suppose $A ...
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Mar 29, 2023
Linear Algebra
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18
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1
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4
GO Classes CS/DA 2025 | Weekly Quiz 4 | Linear Algebra | Question: 6
Let $\vec{v}$ be an eigenvector of an invertible matrix $A$. Which of the following are necessarily true? $\vec{v}$ is an eigenvector of $A^{-1}$. $\vec{v}$ is an eigenvector of $A^2$. $\vec{v}$ is an eigenvector of $A+I$. $\vec{v}$ is an eigenvector of $A+2 I$.
Let $\vec{v}$ be an eigenvector of an invertible matrix $A$. Which of the following are necessarily true?$\vec{v}$ is an eigenvector of $A^{-1}$.$\vec{v}$ is an eigenvect...
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Mar 29, 2023
Linear Algebra
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0
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1
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5
NIELIT 2016 MAR Scientist C - Section B: 9
Consider three vectors $x=\begin{bmatrix}1\\2 \end{bmatrix}, y=\begin{bmatrix}4\\8 \end{bmatrix},z=\begin{bmatrix}3\\1 \end{bmatrix}$. Which of the folowing statements is true $x$ and $y$ are linearly independent $x$ and $y$ are linearly dependent $x$ and $z$ are linearly dependent $y$ and $z$ are linearly dependent
Consider three vectors $x=\begin{bmatrix}1\\2 \end{bmatrix}, y=\begin{bmatrix}4\\8 \end{bmatrix},z=\begin{bmatrix}3\\1 \end{bmatrix}$. Which of the folowing statements is...
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Linear Algebra
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