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Recent questions tagged linearalgebra
Webpage for Linear Algebra
+1
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1
Determinant
Find the determinant of the $n\times n$ matrix $\begin{bmatrix} 2cos\Theta & 1 & 0 &0 &........ & 0 & \\ 1&2cos\Theta &1 & 0 & ........ & 0 & \\ 0&1 & 2cos\Theta & 1 &.... ... & 1 & 2cos\Theta & \end{bmatrix}$ how the answer could be $D_{n}2cos\Theta D_{n1}+D_{n2}=0$? Plz explain
asked
Mar 13
in
Linear Algebra
by
srestha
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82.7k
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50
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linearalgebra
matrices
0
votes
1
answer
2
GATE2007 EE
Let $x$ and $y$ be two vectors in a $3$ dimensional space and $<x,y>$ denote their dot product. Then the determinant $det\begin{bmatrix}<x,x> & <x,y>\\ <y,x> & <y,y>\end{bmatrix}$ is zero when ... $x$ and $y$ are linearly independent is nonzero for all nonzero $x$ and $y$ is zero only when either $x$ or $y$ is zero
asked
Mar 13
in
Linear Algebra
by
Aishwarya Gujrathi
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229
points)

61
views
engineeringmathematics
linearalgebra
0
votes
1
answer
3
GATE 2018 Maths  22(Electronics and Communication Engineering)
asked
Feb 21
in
Calculus
by
Lakshman Patel RJIT
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(
7.8k
points)

130
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gate2018
engineeringmathematics
linearalgebra
matrices
normal
0
votes
1
answer
4
GATE 2018 Maths  44(Electrical Engineering)
asked
Feb 21
in
Linear Algebra
by
Lakshman Patel RJIT
Boss
(
7.8k
points)

150
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gate2018
engineeringmathematics
linearalgebra
easy
+9
votes
2
answers
5
GATE201826
Consider a matrix P whose only eigenvectors are the multiples of $\begin{bmatrix} 1 \\ 4 \end{bmatrix}$. Consider the following statements. P does not have an inverse P has a repeated eigenvalue P cannot be diagonalized Which one of ... are necessarily true Only II is necessarily true Only I and II are necessarily true Only II and III are necessarily true
asked
Feb 14
in
Linear Algebra
by
gatecse
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19.7k
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1.3k
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gate2018
linearalgebra
matrices
eigenvalue
normal
+6
votes
4
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6
GATE201817
Consider a matrix $A= uv^T$ where $u=\begin{pmatrix}1 \\ 2 \end{pmatrix} , v = \begin{pmatrix}1 \\1 \end{pmatrix}$. Note that $v^T$ denotes the transpose of $v$. The largest eigenvalue of $A$ is ____
asked
Feb 14
in
Linear Algebra
by
gatecse
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19.7k
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958
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gate2018
linearalgebra
eigenvalue
normal
numericalanswers
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0
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7
Eigen Vectors
I'm getting 2
asked
Feb 1
in
Linear Algebra
by
Pawan Kumar 2
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5.1k
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78
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linearalgebra
+5
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2
answers
8
LU decomposition
asked
Jan 13
in
Linear Algebra
by
Lakshman Patel RJIT
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7.8k
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69
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linearalgebra
matrices
+5
votes
1
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9
Eigen value
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Jan 13
in
Linear Algebra
by
Lakshman Patel RJIT
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7.8k
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103
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engineeringmathematics
linearalgebra
matrix
eigenvalue
+5
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1
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10
matrix linearly independent and orthogonal
asked
Jan 12
in
Linear Algebra
by
Lakshman Patel RJIT
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7.8k
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56
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linearalgebra
+1
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0
answers
11
Linear Algebra
If $I$ is the unit matrix of order $n$ , where $k!=0$ is a constant then $adj \ kI$ is
asked
Jan 11
in
Linear Algebra
by
Anjan
Active
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1.9k
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68
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engineeringmathematics
linearalgebra
+4
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1
answer
12
matrix adjoint
asked
Jan 10
in
Linear Algebra
by
Lakshman Patel RJIT
Boss
(
7.8k
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96
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linearalgebra
matrices
+3
votes
1
answer
13
matrix
asked
Jan 10
in
Linear Algebra
by
Lakshman Patel RJIT
Boss
(
7.8k
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54
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linearalgebra
matrix
+2
votes
0
answers
14
Matrix
If A and B are symmetric matrices of same order, then ABBA is A) NULL matrix B) Symmetric matrix C) Skew symmetric matrix D) Orthogonal matrix
asked
Jan 6
in
Linear Algebra
by
srestha
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82.7k
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81
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linearalgebra
matrices
+2
votes
0
answers
15
made easy subject wise
A real n × n matrix A = {aij} is defined as follows: aij= i, if i = j, otherwise 0 The determinant of all n eigen values of A is
asked
Jan 6
in
Mathematical Logic
by
Kuldeep Pal
Loyal
(
2.6k
points)

36
views
linearalgebra
matrices
+1
vote
1
answer
16
GATE 2014 IN (2 Marks)
A scalar valued function is defined as $f(x)=x^TAx+b^Tx+c$ , where A is a symmetric positive definite matrix with dimension $n*1$ ; b and x are vectors of dimension $n*1$ .The minimum value of $f(x)$ will occur when x equals. Answer: $(\frac{A^{1}b}{2})$ How to solve this?
asked
Jan 2
in
Linear Algebra
by
Sourajit25
Junior
(
605
points)

99
views
gate2014
linearalgebra
matrices
in
+1
vote
1
answer
17
Linear Algebra: Matrix operations
asked
Jan 1
in
Linear Algebra
by
Shubhanshu
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16k
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75
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engineeringmathematics
linearalgebra
eigenvalue
+2
votes
0
answers
18
Matrix, IN Gate 2007
Let A be an nxn real matrix such that A^2=I and y be an ndimensional vector. Then the linear system of equations AX=Y has A) No solution B) Unique Solution C) More than one but finitely many independent solutions D) infinitely many independent solutions
asked
Dec 31, 2017
in
Linear Algebra
by
MiNiPanda
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5.8k
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51
views
linearalgebra
gate
2007in
+1
vote
0
answers
19
Gate 2016 EE set 1
Let A be a 4×3 real matrix with rank 2. Let B be transpose matrix of A. Which one of the following statement is TRUE? (a) Rank of BA is less than 2. (b) Rank of BA is equal to 2. (c) Rank of BA is greater than 2. (d) Rank of BA can be any number between 1 and 3.
asked
Dec 21, 2017
in
Mathematical Logic
by
Mahendra Singh Kanya
(
433
points)

111
views
linearalgebra
engineeringmathematics
+1
vote
0
answers
20
Domain of ModTrigo function ALLEN2017
asked
Dec 19, 2017
in
Linear Algebra
by
stanchion
(
423
points)

77
views
linearalgebra
range
domain
trigonomatric
function
modulus
+1
vote
0
answers
21
Eigen Vectors
asked
Dec 12, 2017
in
Linear Algebra
by
ankitgupta.1729
Active
(
2.5k
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117
views
linearalgebra
eigenvalue
engineeringmathematics
+1
vote
1
answer
22
IIT Guwahati PhD Question
These were the question asked in PhD Interview of IIT Guwahati. Addition of two matrices is done by adding element by element of respective matrices. Multiplication is done by multiplying row by column method. We all are ... get violated if we multiply element by element? What is the principle behind doing multiplication row by column method?
asked
Dec 12, 2017
in
Linear Algebra
by
Rohit Gupta 8
Active
(
2.3k
points)

124
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iitguwahati
linearalgebra
matrices
+1
vote
2
answers
23
LU decomposition
Given the system of linear equations: $4y\ +\ 3z\ =\ 8\\ 2x\ \ z\ =\ 2\\ 3x\ +\ 2y\ =\ 5$ Find L & U.
asked
Dec 10, 2017
in
Linear Algebra
by
Tuhin Dutta
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(
7.9k
points)

189
views
linearalgebra
matrices
engineeringmathematics
0
votes
1
answer
24
TIFR2018A14
Let $A$ be an $n\times n$ invertible matrix with real entries whose row sums ar all equal to $c$. Consider the following statements: Every row in the matrix $2A$ sums to $2c$. Every row in the matrix $A^{2}$ sums to $c^{2}$. Every row in the ... 2)$ are correct but not necessarily statement $(3)$ all the three statements $(1), (2),$ and $(3)$ are correct
asked
Dec 10, 2017
in
Linear Algebra
by
Rohit Gupta 8
Active
(
2.3k
points)

179
views
tifr2018
matrix
linearalgebra
0
votes
0
answers
25
EEGATE_2014_S1_2 Marks
A system matrix is given as follows. A = $\begin{pmatrix} 0 & 1 &1 \\ 6 &11 &6 \\ 6 & 11 & 5 \end{pmatrix}$ The absolute value of the ratio of the maximum eigen value to the minimum eigen value is ?
asked
Nov 30, 2017
in
Linear Algebra
by
Ayush Upadhyaya
Boss
(
7.6k
points)

71
views
linearalgebra
gate2014ee
0
votes
0
answers
26
ME: GATE2005
A is a 3 x 4 real matrix and A x = b is an inconsistent system of equations. The highest possible rank of A is:____________
asked
Nov 29, 2017
in
Linear Algebra
by
Hira Thakur
Veteran
(
17.1k
points)

124
views
linearalgebra
0
votes
0
answers
27
Matrices
...................................... .
asked
Nov 28, 2017
in
Mathematical Logic
by
Tuhin Dutta
Boss
(
7.9k
points)

46
views
engineeringmathematics
matrices
linearalgebra
0
votes
0
answers
28
ME GATE 2016
The number of linearly independent eigenvectors of matrix A= $\begin{pmatrix} 2 &1 & 0\\ 0& 2 &0 \\ 0& 0 & 3 \end{pmatrix}$
asked
Nov 25, 2017
in
Linear Algebra
by
Ayush Upadhyaya
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(
7.6k
points)

129
views
megate2016
linearalgebra
0
votes
1
answer
29
No.of no negative integer solutions
asked
Nov 18, 2017
in
Linear Algebra
by
Parshu gate
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(
6.5k
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60
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linearalgebra
0
votes
0
answers
30
virtual gate
Let A be a real n × n matrix, then which of the following statements are true? I. A is orthogonal iff the row vectors form an orthogonal set of vectors in R4 II. A is orthogonal iff the column vectors form an orthogonal set of vectors in R4 (A) Only I (B) Only II (C) Both I and II (D) None of these
asked
Nov 16, 2017
in
Linear Algebra
by
Manoja Rajalakshmi A
Loyal
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4.7k
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22
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orthogonal
linearalgebra
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