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Search results for linear-algebra+gate
3
votes
1
answer
1
TIFR CSE 2016 | Part A | Question: 3
Consider the following set of $3n$ linear equations in $3n$ ... $\mathbb{R}^{3n}$ of dimension n $S$ is a subspace of $\mathbb{R}^{3n}$ of dimension $n-1$ $S$ has exactly $n$ elements
Consider the following set of $3n$ linear equations in $3n$ variables:$\begin{matrix} x_1-x_2=0 & x_4-x_5 =0 & \dots & x_{3n-2}-x_{3n-1}=0 \\ x_2-x_3=0 & x_5-x_6=0 & & x_...
go_editor
549
views
go_editor
asked
Dec 26, 2016
Linear Algebra
tifr2016
linear-algebra
vector-space
non-gate
+
–
1
votes
1
answer
2
ISI2017-DCG-25
If $f(x) = \begin{vmatrix} 2 \cos ^2 x & \sin 2x & – \sin x \\ \sin 2x & 2 \sin ^2 x & \cos x \\ \sin x & – \cos x & 0 \end{vmatrix},$ then $\int_0^{\frac{\pi}{2}} [ f(x) + f’(x)] dx$ is $\pi$ $\frac{\pi}{2}$ $0$ $1$
If $f(x) = \begin{vmatrix} 2 \cos ^2 x & \sin 2x & – \sin x \\ \sin 2x & 2 \sin ^2 x & \cos x \\ \sin x & – \cos x & 0 \end{vmatrix},$ then $\int_0^{\frac{\pi}{2}} [...
gatecse
585
views
gatecse
asked
Sep 18, 2019
Linear Algebra
isi2017-dcg
linear-algebra
determinant
definite-integral
non-gate
+
–
1
votes
2
answers
3
ISI2019-MMA-13
Let $V$ be the vector space of all $4 \times 4$ matrices such that the sum of the elements in any row or any column is the same. Then the dimension of $V$ is $8$ $10$ $12$ $14$
Let $V$ be the vector space of all $4 \times 4$ matrices such that the sum of the elements in any row or any column is the same. Then the dimension of $V$ is$8$$10$$12$$1...
Sayan Bose
2.3k
views
Sayan Bose
asked
May 6, 2019
Linear Algebra
isi2019-mma
engineering-mathematics
linear-algebra
vector-space
non-gate
+
–
3
votes
2
answers
4
Virtual Gate Test Series: Linear Algebra - Rank Of The Matrix
Prince Sindhiya
1.3k
views
Prince Sindhiya
asked
Oct 15, 2018
Linear Algebra
engineering-mathematics
linear-algebra
matrix
rank-of-matrix
virtual-gate-test-series
+
–
12
votes
4
answers
5
GATE CSE 1987 | Question: 1-xxi
If $a, b,$ and $c$ are constants, which of the following is a linear inequality? $ax+bcy=0$ $ax^{2}+cy^{2}=21$ $abx+a^{2}y \geq 15$ $xy+ax \geq 20$
If $a, b,$ and $c$ are constants, which of the following is a linear inequality?$ax+bcy=0$$ax^{2}+cy^{2}=21$$abx+a^{2}y \geq 15$$xy+ax \geq 20$
makhdoom ghaya
4.0k
views
makhdoom ghaya
asked
Nov 8, 2016
Linear Algebra
gate1987
linear-algebra
inequality
out-of-gate-syllabus
+
–
2
votes
0
answers
6
Virtual Gate Test Series: Linear Algebra - Eigen Values of a Unity Matrix
Prince Sindhiya
709
views
Prince Sindhiya
asked
Oct 15, 2018
Linear Algebra
engineering-mathematics
linear-algebra
matrix
eigen-value
virtual-gate-test-series
+
–
1
votes
0
answers
7
Virtual Gate Test Series: Linear Algebra - Eigen Value
Prince Sindhiya
547
views
Prince Sindhiya
asked
Oct 16, 2018
Linear Algebra
engineering-mathematics
linear-algebra
matrix
eigen-value
virtual-gate-test-series
+
–
2
votes
0
answers
8
TIFR CSE 2016 | Part B | Question: 6
A subset $X$ of $\mathbb{R}^n$ is convex if for all $x, y \in X$ and all $\lambda \in (0, 1)$, we have $\lambda x + (1- \lambda)y \in X$. If $X$ is a convex set, which of the following statements is necessarily TRUE? For every $ x \in X$ ... $x \in X$, then $\lambda x \in X$ for all scalars $\lambda$ If $x, y \in X$, then $x-y \in X$
A subset $X$ of $\mathbb{R}^n$ is convex if for all $x, y \in X$ and all $\lambda \in (0, 1)$, we have $\lambda x + (1- \lambda)y \in X$. If $X$ is a convex set, which of...
go_editor
464
views
go_editor
asked
Dec 28, 2016
Linear Algebra
tifr2016
linear-algebra
vector-space
non-gate
+
–
1
votes
1
answer
9
GATE CSE 1993 | Question: 02.3
If the linear velocity $\vec V$ is given by $\vec V = x^2y\,\hat i + xyz\,\hat j – yz^2\,\hat k$ The angular velocity $\vec \omega$ at the point $(1, 1, -1)$ is ________
If the linear velocity $\vec V$ is given by $$\vec V = x^2y\,\hat i + xyz\,\hat j – yz^2\,\hat k$$The angular velocity $\vec \omega$ at the point $(1, 1, -1)$ is ______...
Kathleen
1.4k
views
Kathleen
asked
Sep 13, 2014
Linear Algebra
gate1993
linear-algebra
normal
vector-space
out-of-gate-syllabus
fill-in-the-blanks
+
–
0
votes
1
answer
10
Virtual Gate Test Series: Linear Algebra - Matrix(Number Of Solutions)
$1)$ If the row reduced the form of a matrix has more than two non-zero entries in any row, then the corresponding system of equations has Infinitely many solutions. $2)$ If the row reduced the form of a matrix has more ... 2 non zero, then it's good, because then we will have more number of equations? How is the answer C?
$1)$ If the row reduced the form of a matrix has more than two non-zero entries in any row, then the corresponding system of equations has Infinitely many solutions.$2)$ ...
Purple
1.4k
views
Purple
asked
Jan 30, 2016
Linear Algebra
engineering-mathematics
linear-algebra
matrix
number-of-solutions
virtual-gate-test-series
+
–
1
votes
0
answers
11
TIFR-2015-Maths-B-11
Let $(X, d)$ be a path connected metric space with at least two elements, and let $S=\left\{d(x, y):x, y \in X\right\}$. Which of the following statements is not necessarily true ? $S$ is infinite. $S$ contains a non-zero rational number. $S$ is connected. $S$ is a closed subset of $\mathbb{R}$
Let $(X, d)$ be a path connected metric space with at least two elements, and let $S=\left\{d(x, y):x, y \in X\right\}$. Which of the following statements is not necessar...
makhdoom ghaya
350
views
makhdoom ghaya
asked
Dec 21, 2015
Linear Algebra
tifrmaths2015
linear-algebra
non-gate
+
–
1
votes
0
answers
12
TIFR-2014-Maths-A-16
$X$ is a metric space. $Y$ is a closed subset of $X$ such that the distance between any two points in $Y$ is at most $1$. Then $Y$ is compact Any continuous function from $Y \rightarrow \mathbb{R}$ is bounded $Y$ is not an open subset of $X$ none of the above
$X$ is a metric space. $Y$ is a closed subset of $X$ such that the distance between any two points in $Y$ is at most $1$. Then $Y$ is compact Any continuous function from...
makhdoom ghaya
373
views
makhdoom ghaya
asked
Dec 17, 2015
Linear Algebra
tifrmaths2014
linear-algebra
vector-space
non-gate
+
–
1
votes
0
answers
13
TIFR-2015-Maths-B-4
Let $U_{1}\supset U_{2} \supset...$ be a decreasing sequence of open sets in Euclidean $3$-space $\mathbb{R}^{3}$. What can we say about the set $\cap U_{i}$ ? It is infinite. It is open. It is non-empty. None of the above.
Let $U_{1}\supset U_{2} \supset...$ be a decreasing sequence of open sets in Euclidean $3$-space $\mathbb{R}^{3}$. What can we say about the set $\cap U_{i}$ ?It is infin...
makhdoom ghaya
330
views
makhdoom ghaya
asked
Dec 20, 2015
Linear Algebra
tifrmaths2015
linear-algebra
non-gate
+
–
1
votes
1
answer
14
GATE IT 2006 | Question: 77
$x + y/2 = 9$ $3x + y = 10$ What can be said about the Gauss-Siedel iterative method for solving the above set of linear equations? it will converge It will diverse It will neither converge nor diverse It is not applicable
$x + y/2 = 9$$3x + y = 10$What can be said about the Gauss-Siedel iterative method for solving the above set of linear equations?it will convergeIt will diverseIt will...
Ishrat Jahan
1.7k
views
Ishrat Jahan
asked
Nov 1, 2014
Linear Algebra
gateit-2006
linear-algebra
normal
numerical-methods
non-gate
+
–
1
votes
1
answer
15
GATE IT 2006 | Question: 76
x + y/2 = 9 3x + y = 10 The value of the Frobenius norm for the above system of equations is $0.5$ $0.75$ $1.5$ $2.0$
x + y/2 = 93x + y = 10The value of the Frobenius norm for the above system of equations is$0.5$$0.75$$1.5$$2.0$
Ishrat Jahan
1.5k
views
Ishrat Jahan
asked
Nov 1, 2014
Linear Algebra
gateit-2006
linear-algebra
normal
numerical-methods
non-gate
+
–
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