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Syllabus: Matrices, determinants, System of linear equations, Eigenvalues and eigenvectors, LU decomposition.

$$\scriptsize{\overset{{\large{\textbf{Mark Distribution in Previous GATE}}}}{\begin{array}{|c|c|c|c|c|c|c|c|}\hline
\textbf{Year}& \textbf{2022} & \textbf{2021-1}&\textbf{2021-2}&\textbf{2020}&\textbf{2019}&\textbf{2018}&\textbf{2017-1}&\textbf{2017-2}&\textbf{2016-1}&\textbf{2016-2}&\textbf{Minimum}&\textbf{Average}&\textbf{Maximum}
\\\hline\textbf{1 Mark Count} & 1 &0&1&0&1&1&1&1&1&2&0&0.9&2
\\\hline\textbf{2 Marks Count} & 2 &1&1&1&1&1&2&1&0&0&0&1&2
\\\hline\textbf{Total Marks} & 5 &2&3&2&3&3&5&3&1&2&\bf{1}&\bf{2.9}&\bf{5}\\\hline
\end{array}}}$$

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Most viewed questions in Linear Algebra

0 votes
1 answer
361
GATE 2019:EC
The value of integral $\int_{0}^{\pi }\int_{y}^{\pi }\frac{\sin x}{x}dxdy$ is equal to_________
The value of integral $\int_{0}^{\pi }\int_{y}^{\pi }\frac{\sin x}{x}dxdy$ is equal to_________
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1 votes
1 answer
364
Eigen value of the following matrix
The eigen value of the following matrix is $\begin{bmatrix}1&1&1\\1&1&1\\1&1&1\end{bmatrix}$ $1, 1, 1$ $1, 0, 0$ $3, 0, 0$ $0, 0, 0$
The eigen value of the following matrix is $\begin{bmatrix}1&1&1\\1&1&1\\1&1&1\end{bmatrix}$ $1, 1, 1$$1, 0, 0$$3, 0, 0$$0, 0, 0$
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7 votes
1 answer
365
TIFR2010-Maths-B-14
The equations. $x_{1}+2x_{2}+3x_{3}=1$ $x_{1}+4x_{2}+9x_{3}=1$ $x_{1}+8x_{2}+27x_{3}=1$ have Only one solution Two solutions Infinitely many solutions No solutions
The equations.$x_{1}+2x_{2}+3x_{3}=1$$x_{1}+4x_{2}+9x_{3}=1$$x_{1}+8x_{2}+27x_{3}=1$haveOnly one solutionTwo solutionsInfinitely many solutionsNo solutions
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1 votes
1 answer
366
ISRO 2016- matrices [Mech]
What is the value of a) 2 $a^2$ $b^2$ $c^2$ b) 4 $a^2$ $b^2$ $c^2$ c) 8 $a^2$ $b^2$ $c^2$ d) 0
What is the value ofa) 2 $a^2$ $b^2$ $c^2$b) 4 $a^2$ $b^2$ $c^2$c) 8 $a^2$ $b^2$ $c^2$d) 0
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1 votes
2 answers
367
PGEE 2018
let $\left | A \right|=8$ ,$\left | B \right|=3$ ,$\left | C \right|=6$ then what will be value of AB$^{T}$C$^{-1}$ A) 144 B) 0 C) 4 D) 14
let $\left | A \right|=8$ ,$\left | B \right|=3$ ,$\left | C \right|=6$ then what will be value of AB$^{T}$C$^{-1}$A) 144B) 0C) 4D) 14
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1 votes
1 answer
368
Matrix multiplication 1
I want to ask about the equation i hv marked a question mark. (p-1qp)n=p-1qnp how?? Why is there no power on matrix p ?
I want to ask about the equation i hv marked a question mark.(p-1qp)n=p-1qnp how??Why is there no power on matrix p ?
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0 votes
0 answers
369
GATE 2014 _ 28 [IN]
A scalar valued function is defined as $f(x) = x^T Ax + b^Tx + c$ where A = symmetric +ve definite matrix with diamension n*n x = are vectors of dimension n* 1 The min value of f(x) will occur when x equals (ATA )-1B - (ATA )-1B -(A-1B) / 2 (A-1B) / 2
A scalar valued function is defined as$$f(x) = x^T Ax + b^Tx + c$$where A = symmetric +ve definite matrix with diamension n*n x = are vectors of dimension n* ...
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0 votes
1 answer
371
Determinent of matrix
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2 votes
2 answers
372
NIELIT 2016 DEC Scientist B (CS) - Section B: 21
Let $A,B,C,D$ be $n\times n$ matrices, each with non-zero determinant. If $ABCD=1$, then $B^{-1}$ is: $D^{-1}C^{-1}A^{-1}$ $CDA$ $ADC$ Does not necessarily exist.
Let $A,B,C,D$ be $n\times n$ matrices, each with non-zero determinant. If $ABCD=1$, then $B^{-1}$ is:$D^{-1}C^{-1}A^{-1}$$CDA$$ADC$Does not necessarily exist.
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0 votes
1 answer
373
ISRO 2007-ECE Roots of equation
If a,b,c are the roots of equations $x^3$ + p$x^ 2$ +q$x$+p=0, Then the value of $tan^{-1} a+ tan^{-1 }b+tan^{-1}c$ is a) n π /4 b) n π /2 c) n π d) 2n π
If a,b,c are the roots of equations $x^3$ + p$x^ 2$ +q$x$+p=0, Then the value of $$tan^{-1} a+ tan^{-1 }b+tan^{-1}c$$ isa) n π /4b) n π /2c) n πd) 2n π
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1 votes
1 answer
374
GATE 2018 MA LU DECOMPOSITION
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1 votes
2 answers
376
ISRO 2013- Matrices [EE]
Characteristic roots of matrix $A$ and $A^T$ will be a) Different b) Same c) Cannot say about roots d) None of these
Characteristic roots of matrix $A$ and $A^T$ will bea) Differentb) Samec) Cannot say about rootsd) None of these
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2 votes
1 answer
380
Applied Grand Test 2
What is the value of the given determinant ?
What is the value of the given determinant ?
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