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Recent questions tagged matrices
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Nullity of matrix
Nullity of a matrix = Total number columns – Rank of that matrix By how to calculate value of x when nullity is already given(1 in this case)
asked
Jan 24
in
Linear Algebra
by
Nandkishor3939
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1.2k
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90
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engineeringmathematics
linearalgebra
matrices
rankofmatrix
matrix
0
votes
1
answer
2
Simple Determinant
how to prove determinant 1 and 2 are same by some rowcolumn manipulation ,please Help??
asked
Jan 19
in
Linear Algebra
by
BHASHKAR
(
21
points)

39
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linearalgebra
engineeringmathematics
matrices
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0
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3
#set theory #groups
Consider the set H of all 3 × 3 matrices of the type: $\begin{bmatrix} a&f&e\\ 0&b&d\\ 0&0&c\\ \end{bmatrix}$ where a, b, c, d, e and f are real numbers and $abc ≠ 0$. Under the matrix multiplication operation, the set H is: (a) a group (b) a monoid but not a group (c) a semigroup but not a monoid (d) neither a group nor a semigroup
asked
Jan 5
in
Set Theory & Algebra
by
Kunal Kadian
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2.6k
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56
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settheory&algebra
groups
matrices
0
votes
0
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4
Determinant
True and false IF A is 5*5 matrix then det(4$A^{3}$)=$4^{5}det(A^{3}))$ det($(4A)^{3}$)=$det(4^{3}A^{3}))$ i think both are true ??
asked
Jan 4
in
Mathematical Logic
by
Gurdeep Saini
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9.1k
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34
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engineeringmathematics
matrices
easy
+2
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1
answer
5
GATEBOOK2019LA11
The characteristic roots of a $3 \times 3$ matrix $A$ are $2, 2, 8.$ The constant term in the characteristic polynomial is $12$ $18$ $32$ $128$
asked
Dec 23, 2018
in
Linear Algebra
by
GATEBOOK
Boss
(
15.3k
points)

212
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gb2019la1
matrices
+2
votes
1
answer
6
Cases when LU decomposition is possible.
I had already visited below link but was unable to grasp it. https://math.stackexchange.com/questions/218770/whendoesasquarematrixhaveanludecomposition. I made some form of selfanalysis, let me know if I am in the correct ... pivot, and if such cannot be fixed without a row shuffle operation, then LU decomposition is not possible. Am I correct?
asked
Nov 18, 2018
in
Linear Algebra
by
Ayush Upadhyaya
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24.9k
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143
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linearalgebra
matrices
+1
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0
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7
Zeal Test Series 2019: Linear Algebra  Matrices
asked
Nov 17, 2018
in
Linear Algebra
by
Prince Sindhiya
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6.2k
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53
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zeal
linearalgebra
discretemathematics
matrices
zeal2019
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0
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8
GATEME2016
asked
Nov 6, 2018
in
Linear Algebra
by
aditi19
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2.5k
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94
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gate20161
linearalgebra
matrices
eigenvalue
+3
votes
4
answers
9
Eigen Value
An orthogonal matrix A has eigen values 1, 2 and 4. What is the trace of the matrix
asked
Sep 20, 2018
in
Linear Algebra
by
aditi19
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2.5k
points)

150
views
matrices
eigenvalue
0
votes
0
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10
Invertible Matrix
Let $A$ be a nilpotent matrix. Show that $I + A$ is invertible.
asked
Aug 8, 2018
in
Linear Algebra
by
pankaj_vir
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10.2k
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71
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engineeringmathematics
linearalgebra
matrices
matrix
0
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2
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11
Invertible Matrix
Let A be a $5 × 5$ invertible matrix with row sums $1$. That is $\sum_{j=1}^{5} a_{ij} = 1$ for $1 \leq i\leq 5$. Then, what is the sum of all entries of $A^{1}$.
asked
Aug 8, 2018
in
Linear Algebra
by
pankaj_vir
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(
10.2k
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129
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engineeringmathematics
linearalgebra
matrices
matrix
easy
0
votes
1
answer
12
Inversion of a matrix  CSIR question
Let A be 3x3 matrix. Suppose 1 and 1 are two of the three Eigen Values of A and 18 is one of the Eigen Values of A2+3A. Then____ a.) Both A and A2+3A are invertible. b.) A2+3A but A is not. c.) A is invertible but A2+3A is not invertible. d.) Both A and A2+3A are not invertible.
asked
Jul 5, 2018
in
Linear Algebra
by
ZeroFriction
(
15
points)

153
views
linearalgebra
matrices
engineeringmathematics
eigenvalue
matrixinversion
0
votes
3
answers
13
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 ... $"n"$ linearly independent columns. $A$ will have $"m1"$ linearly independent rows and $"n1"$ independent columns.
asked
May 31, 2018
in
Linear Algebra
by
saumya mishra
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1.5k
points)

173
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engineeringmathematics
linearalgebra
matrices
+1
vote
1
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14
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, 2018
in
Linear Algebra
by
srestha
Veteran
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109k
points)

138
views
linearalgebra
matrices
engineeringmathematics
+1
vote
3
answers
15
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, 2018
in
Linear Algebra
by
srestha
Veteran
(
109k
points)

418
views
linearalgebra
matrices
engineeringmathematics
0
votes
0
answers
16
Matrix
To find the product of the nonzero eigenvalues of the matrix is ____ ... $\lambda =1,2,0$ Where is my mistake, plz tell me
asked
May 14, 2018
in
Linear Algebra
by
srestha
Veteran
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109k
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197
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linearalgebra
matrices
engineeringmathematics
+4
votes
4
answers
17
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, 2018
in
Linear Algebra
by
jjayantamahata
Active
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1.7k
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321
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isi2017
engineeringmathematics
matrices
rankofmatrix
+1
vote
2
answers
18
ISI201719
If $\alpha, \beta$ and $\gamma$ are the roots of $x^3  px +q = 0$, then the value of the determinant $\begin{vmatrix}\alpha & \beta & \gamma\\\beta & \gamma & \alpha\\\gamma & \alpha & \beta\end{vmatrix}$ is $p$ $p^2$ $0$ $p^2+6q$
asked
Mar 28, 2018
in
Mathematical Logic
by
jjayantamahata
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1.7k
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184
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isi2017
matrices
determinant
+1
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2
answers
19
ISI201715
The diagonal elements of a square matrix $M$ are odd integers while the offdiagonals are even integers. Then $M$ must be singular $M$ must be nonsingular There is not enough information to decide the singularity of $M$ $M$ must have a positive eigenvalue.
asked
Mar 27, 2018
in
Mathematical Logic
by
jjayantamahata
Active
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1.7k
points)

142
views
isi2017
matrices
+3
votes
3
answers
20
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, 2018
in
Linear Algebra
by
jjayantamahata
Active
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1.7k
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253
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engineeringmathematics
isi2017
matrices
+3
votes
1
answer
21
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, 2018
in
Linear Algebra
by
Avik Chowdhury
Junior
(
901
points)

248
views
matrices
eigenvalue
+3
votes
1
answer
22
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, 2018
in
Linear Algebra
by
Avik Chowdhury
Junior
(
901
points)

119
views
matrices
+2
votes
2
answers
23
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, 2018
in
Linear Algebra
by
Avik Chowdhury
Junior
(
901
points)

147
views
matrices
eigenvalue
+1
vote
2
answers
24
Madeeasy workbook
Let $A$ be a $3\times 3$ matrix such that $\mid AI \mid=0$.If trace of $A=13$ and $det A = 32$ then sum of squares of the eigen values of $A$ is ..... $82$ $13$ $169$ $81$
asked
Mar 22, 2018
in
Linear Algebra
by
Avik Chowdhury
Junior
(
901
points)

589
views
matrices
eigenvalue
+2
votes
2
answers
25
Madeeasy workbook
Let $A$ be a $3\times 4$ matrix.The system of equations $Ax=0$ has unique solution Infinite solution No solution Exactly 2 solutions
asked
Mar 22, 2018
in
Linear Algebra
by
Avik Chowdhury
Junior
(
901
points)

2.1k
views
matrices
+1
vote
1
answer
26
Made easy workbook
Let $A = (a_{ij})_{n\times n}$ such that $a_{ij}=3$ for all $i,j$ then nullity of $A$ is $n1$ $n3$ $n$ $0$
asked
Mar 22, 2018
in
Linear Algebra
by
Avik Chowdhury
Junior
(
901
points)

245
views
matrices
nullityofmatrix
0
votes
2
answers
27
ISI201418
Let $D_1 = det \begin{pmatrix}a & b & c\\x &y & z\\p& q & r\end{pmatrix}$ and $D_2 = det \begin{pmatrix}x & a & p\\y &b & q\\z & c & r\end{pmatrix}$ Then $D_1 = D_2$ $D_1 = 2D_2$ $D_1 = D_2$ $D_2 = 2D_1$
asked
Mar 18, 2018
in
Mathematical Logic
by
jjayantamahata
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1.7k
points)

68
views
matrices
+1
vote
1
answer
28
Determinant
Find the determinant of the $n\times n$ ... $D_{n}2cos\Theta D_{n1}+D_{n2}=0$? Plz explain
asked
Mar 13, 2018
in
Linear Algebra
by
srestha
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109k
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125
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linearalgebra
matrices
+1
vote
1
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29
Eigen value of the following matrix
The eigen value of the following matrix is $\begin{bmatrix}1&1&1\\1&1&1\\1&1&1\end{bmatrix}$ $1, 1, 1$ $1, 0, 0$ $3, 0, 0$ $0, 0, 0$
asked
Mar 3, 2018
in
Linear Algebra
by
Prince Sindhiya
Loyal
(
6.2k
points)

138
views
eigenvalue
matrices
0
votes
1
answer
30
GATE 2018 Maths  22(Electronics and Communication Engineering)
Consider matrix $A =$ $\begin{bmatrix} k &2k \\ k^{2}k &k^{2} \end{bmatrix}$ and $x =$ $\begin{bmatrix} x1\\x2 \end{bmatrix}$ The number of distinct real values of $k$ for which the equation $Ax = 0$ has infinitely many solutions is _______.
asked
Feb 21, 2018
in
Calculus
by
Lakshman Patel RJIT
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(
29.4k
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309
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gate2018
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