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Recent questions in Linear Algebra
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Matrices, determinants,
System of linear equations,
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1
Engineering Maths: Orthogonal Matrix
Is the given last point correct? But as i see in the given matrix sum of the product of first two columns (or) two rows is not zero. please verify.
asked
Jun 13
in
Linear Algebra
by
pbhati
(
35
points)

9
views
linearalgebra
engineeringmathematics
0
votes
0
answers
2
Matrix multiplication Gilbert strang
Multiple Interpretations of Matrix Multiplications Say we are multiplying two matices A B = C. Multiple ways to interpret this operation: Rowwise approach: Ci = Ai B. Rows of C are linear combinations of rows in B Column multiplied by rows: ... of A and ith row of B! I am unable to understand these two ways as mentioned in gibert strang book and video ?
asked
Jun 2
in
Linear Algebra
by
Sandy Sharma
(
437
points)

35
views
0
votes
0
answers
3
Gilbert Strang  Real Symmetric Matrices
asked
Jun 2
in
Linear Algebra
by
ankitgupta.1729
Loyal
(
6k
points)

34
views
linearalgebra
gilbertstrang
matrix
engineeringmathematics
0
votes
2
answers
4
Made easy test
Consider the rank of matrix $'A'$ of size $(m \times n)$ is $"m1"$. Then, which of the following is true? $AA^T$ will be invertible. $A$ have $"m1"$ linearly independent rows and $"m1"$ linearly ... and $"n"$ linearly independent columns. $A$ will have $"m1"$ linearly independent rows and $"n1"$ independent columns.
asked
May 31
in
Linear Algebra
by
saumya mishra
Junior
(
921
points)

66
views
engineeringmathematics
linearalgebra
matrices
+1
vote
1
answer
5
Matrix
Each row of M can be represented as a linear combination of the other rows 1)Does that mean linear combination of other rows will be 0? how ? 2)And also , is linear combination means add, subtract, multiply and divide , but not squaring or root or exponential operation,right? https://gateoverflow.in/3319/gate2008it29
asked
May 30
in
Linear Algebra
by
srestha
Veteran
(
86.6k
points)

67
views
linearalgebra
matrices
engineeringmathematics
0
votes
1
answer
6
If A and B are matrices of order 4 x 4 such that A= 5B and determinant of A = X. (determinant of B), then X will be
asked
May 30
in
Linear Algebra
by
VIDYADHAR SHELKE 1
(
71
points)

44
views
engineeringmathematics
linearalgebra
0
votes
1
answer
7
Made easy test
Which of the following matrices is LU DECOMPOSIBLE? How to find it? $\begin{bmatrix} 1 & 2 & 3 \\ 2 & 4 & 5 \\ 1 & 3 & 4 \end{bmatrix}$ $\begin{bmatrix} 3 & 2 \\ 0 & 1 \end{bmatrix}$ $\begin{bmatrix} 0 & 1 \\ 3 & 2 \end{bmatrix}$ $\begin{bmatrix} 1 & 3 & 7 \\ 2 & 6 & 1 \\ 0 & 3 & 2 \end{bmatrix}$
asked
May 30
in
Linear Algebra
by
saumya mishra
Junior
(
921
points)

54
views
engineeringmathematics
linearalgebra
+1
vote
3
answers
8
Matrix
The matrix $A=\begin{bmatrix} 1 &4 \\ 2 &3 \end{bmatrix}$ satisfies the following polynomial $A^{5}4A^{4}7A^{3}+11A^{2}2A+kI=0$ Then the value of k is ______________
asked
May 26
in
Linear Algebra
by
srestha
Veteran
(
86.6k
points)

159
views
linearalgebra
matrices
engineeringmathematics
0
votes
0
answers
9
related to previous year
can someone verify my answer given to this matrices question ? https://gateoverflow.in/3319/gate2008it29
asked
May 20
in
Linear Algebra
by
mehul vaidya
Junior
(
965
points)

33
views
0
votes
0
answers
10
Vector
https://www.youtube.com/watch?v=3SkCNpFOshk In this lecture , can somebody define in 2nd question why $X_{1}+X_{2}\notin V_{1}\cup V_{2}$? I cannot understand the proof
asked
May 17
in
Linear Algebra
by
srestha
Veteran
(
86.6k
points)

26
views
vectorspace
engineeringmathematics
0
votes
1
answer
11
ISI 2018 MMA 2
The volume of the region $S=\{(x,y,z) :\left  x \right +\left  y \right +\left  z \right \leq 1\}$ is $\frac{1}{6}$ $\frac{1}{3}$ $\frac{2}{3}$ $\frac{4}{3}$
asked
May 14
in
Linear Algebra
by
Tesla!
Boss
(
16.1k
points)

69
views
isi2018
vectorspace
0
votes
0
answers
12
Matrix
To find the product of the nonzero eigenvalues of the matrix is ____ $\begin{pmatrix} 1 & 0 & 0 & 0 & 1 \\ 0 & 1 & 1 & 1 & 0 \\ 0 & 1 & 1 & 1 & 0 \\ 0 & 1 & 1 & 1 & 0 \\ 1 & 0 & 0 ... [ \left ( 1\lambda \right )\left ( \lambda ^{2}2\lambda \right ) \right ]$ then $\lambda =1,2,0$ Where is my mistake, plz tell me
asked
May 14
in
Linear Algebra
by
srestha
Veteran
(
86.6k
points)

146
views
linearalgebra
matrices
engineeringmathematics
0
votes
2
answers
13
GATE 2016 EE SET 1
Let the eigenvalues of 2 x 2 matrix A be 1, 2 with eigenvectors x1 and x2 respectively. Then the eigenvalues and eigenvectors of the matrix A^2  3A+4I would respectively, be (a) 2,14; x1,x2 (b) 2,14; x1+x2:x1x2 (c) 2,0; x1, x2 (d) 2,0; x1+x2,x1x2
asked
May 2
in
Linear Algebra
by
Prateek K
Active
(
1.3k
points)

83
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linearalgebra
gate2016ee2
eigenvalue
0
votes
0
answers
14
ISI 2017 MMA 18
Consider following system of equations: $\begin{bmatrix} 1 &2 &3 &4 \\ 5&6 &7 &8 \\ a&9 &b &10 \\ 6&8 &10 & 13 \end{bmatrix}$$\begin{bmatrix} x1\\ x2\\ x3\\ x4 \end{bmatrix}$=$\begin{bmatrix} 0\\ 0\\ 0\\ 0 \end{bmatrix ... solution for ($x_{1},x_{2},x_{3},x_{4}$) is A) a parabola B) a straight line C) entire $\mathbb{R}^{2}$ D) a point
asked
Apr 25
in
Linear Algebra
by
Tesla!
Boss
(
16.1k
points)

123
views
isi2017
0
votes
1
answer
15
ISI 2017 MMA 20
The number of the ordered pair (X, Y), where X and Y are N*N real matrices such that XYYX= I is A) 0 B) 1 C) N D) Infinite
asked
Apr 24
in
Linear Algebra
by
Tesla!
Boss
(
16.1k
points)

113
views
osi2017
engineeringmathematics
0
votes
1
answer
16
ISI 2017 MMA 16
Let ($x_{n}$) be a sequence of a real number such that the subsequence ($x_{2n}$) and ($x_{3n}$) converge to limit K and L respectively. Then A) ($x_{n}$) always converge B) If K=L then ($x_{n}$) converge C) ($x_{n}$) may not converge but K=L D) it is possible to have K$\neq$L
asked
Apr 24
in
Linear Algebra
by
Tesla!
Boss
(
16.1k
points)

103
views
isi2017
calculus
engineeringmathematics
0
votes
1
answer
17
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
asked
Apr 22
in
Linear Algebra
by
Tesla!
Boss
(
16.1k
points)

198
views
iiithpgee
0
votes
1
answer
18
PGEE 2018
let A and B be two n*n matrices such that they follow commutative property under multiplication operation which of the following follows commutative property 1) $A^{T} B$ 2) $B^{T} A$ 3) $A^{T} B^{T}$ 4) None
asked
Apr 21
in
Linear Algebra
by
Tesla!
Boss
(
16.1k
points)

99
views
iiithpgee
0
votes
1
answer
19
Self doubt
There are 10 different balls in such way that 6 balls are white and 4 balls are black. How many different arrangements are possible such way that black ball placed before the white ball ?
asked
Apr 19
in
Linear Algebra
by
Raj Kumar 7
Junior
(
893
points)

46
views
engineeringmathematics
discretemathematics
+1
vote
2
answers
20
linear algebra
asked
Apr 16
in
Linear Algebra
by
Prince Sindhiya
Junior
(
637
points)

51
views
0
votes
3
answers
21
gilbert strang Problem Set 2.1
Which of the following descriptions are correct? The solutions x of Ax = $\begin{bmatrix} 1 & 1 & 1\\ 1 & 0 & 2 \end{bmatrix}$ $\begin{bmatrix} x1\\ x2\\ x3 \end{bmatrix}$ = $\begin{bmatrix} 0\\ 0\\ \end{bmatrix}$ form (a) a plane. (b) a line. (c) a point. (d) a subspace. (e) the nullspace of A. (f) the column space of A
asked
Apr 11
in
Linear Algebra
by
Sambit Kumar
Active
(
4k
points)

144
views
0
votes
1
answer
22
Gate 2004 Question on Linear Algebra
Can Somebody Please explain me in detail description how to calculate the number of upper triangular and lower triangular of a square matrix I read somewhere that it turns out to be ((n^2)+n) /2,Can someone please provide me with a proof
asked
Apr 2
in
Linear Algebra
by
Sayed Athar
(
93
points)

74
views
+1
vote
3
answers
23
ISI201604
If $a,b,c$ and $d$ satisfy the equations $$a+7b+3c+5d =16\\8a+4b+6c+2d = 16\\ 2a+6b+4c+8d = 16 \\ 5a+3b+7c+d= 16$$ Then $(a+d)(b+c)$ equals $4$ $0$ $16$ $16$
asked
Mar 31
in
Linear Algebra
by
jjayantamahata
Active
(
1.5k
points)

106
views
isi2016
engineeringmathematics
systemofequations
+2
votes
4
answers
24
ISI201729
Suppose the rank of the matrix $$\begin{pmatrix}1&1&2&2\\1&1&1&3\\a&b&b&1\end{pmatrix}$$ is $2$ for some real numbers $a$ and $b$. Then $b$ equals $1$ $3$ $1/2$ $1/3$
asked
Mar 29
in
Linear Algebra
by
jjayantamahata
Active
(
1.5k
points)

148
views
isi2017
engineeringmathematics
matrices
rankofmatrix
+2
votes
3
answers
25
ISI20175
If $A$ is a $2 \times 2$ matrix such that trace $A = det \ A = 3,$ then what is the trace of $A^{1}$? $1$ $\left(\dfrac{1}{3}\right)$ $\left(\dfrac{1}{6}\right)$ $\left(\dfrac{1}{2}\right)$
asked
Mar 27
in
Linear Algebra
by
jjayantamahata
Active
(
1.5k
points)

129
views
engineeringmathematics
isi2017
matrices
+2
votes
1
answer
26
Made easy workbook
Let $A$ be a $4\times 4$ matrix with real entries such that $1,1,2,2$ are eigen values.If $B=A^45A^2+5I$ then trace of $A+B$ is...........
asked
Mar 22
in
Linear Algebra
by
Avik Chowdhury
Junior
(
607
points)

132
views
matrices
eigenvalue
+3
votes
1
answer
27
Madeeasy workbook
The number of different matrices that can be formed with elements $0,1,2,3$; each matrix having $4$ elements is $2\times 4^4$ $3\times 4^4$ $4\times 4^4$ $3\times 2^4$
asked
Mar 22
in
Linear Algebra
by
Avik Chowdhury
Junior
(
607
points)

77
views
matrices
+1
vote
1
answer
28
Made easy Workbook
The system of equations $2x+y=5$ $x3y=1$ $3x+4y=k$ is consistent when $k =........$
asked
Mar 22
in
Linear Algebra
by
Avik Chowdhury
Junior
(
607
points)

64
views
+1
vote
1
answer
29
Madeeasy workbook
Let $A$ be a $3\times 3$ matrix with Eigen values $1,1,0$.Then $\mid A^{100}+I\mid$ is...
asked
Mar 22
in
Linear Algebra
by
Avik Chowdhury
Junior
(
607
points)

100
views
matrices
eigen
eigenvalue
+2
votes
2
answers
30
Madeeasy workbook
A $3\times 3$ matrix $P$ is such that $P^3 =P$.Then the eigenvalues of $P$ are $1,1,1$ $1,0.5+j(0.886),0.5j(0.866)$ $1,0.5+j(0.866),0.5j(0.886)$ $0,1,1$
asked
Mar 22
in
Linear Algebra
by
Avik Chowdhury
Junior
(
607
points)

79
views
matrices
eigenvalue
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