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GATE2018-1-2
Arjun
asked
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Linear Algebra
Feb 17, 2018
recategorized
Mar 5, 2021
by
Lakshman Patel RJIT
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The rank of the matrix $\begin{bmatrix} -4 & 1 & -1 \\ -1 & -1 & -1 \\ 7 & -3 & 1 \end{bmatrix}$ is
$1$
$2$
$3$
$4$
gateme-2018-set1
linear-algebra
matrices
rank-of-matrix
Arjun
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Linear Algebra
Feb 17, 2018
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Mar 5, 2021
by
Lakshman Patel RJIT
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Answer:
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In matrix equation $[A] \{X\}=\{R\}$, $[A] = \begin{bmatrix} 4 & 8 & 4 \\ 8 & 16 & -4 \\ 4 & -4 & 15 \end{bmatrix} \{X\} = \begin{Bmatrix} 2 \\ 1 \\ 4 \end{Bmatrix} \text{ and} \{ R \} = \begin{Bmatrix} 32 \\ 16 \\ 64 \end{Bmatrix}$ One of the eigen values of matrix $[A]$ is $4$ $8$ $15$ $16$
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