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Recent questions tagged linear-algebra
0
votes
1
answer
1
Engineering mathematics
If A is a non-zero column matrix of order n×1 and B is a non-zero row matrix of order 1×n then rank of AB equals ? Rank(ab) can be zero???
GateOverflow04
asked
in
Linear Algebra
Sep 21
by
GateOverflow04
71
views
engineering-mathematics
linear-algebra
matrix
self-doubt
2
votes
2
answers
2
Made Easy: Linear Algebra (MSQ)
Let $A$ be a $3$ x $3$ matrix with rank $2$. Then, $AX=0$ has The trivial solution $X=0$. One independent solution. Two independent solution. Three independent solution.
DebSujit
asked
in
Linear Algebra
Sep 19
by
DebSujit
147
views
linear-algebra
engineering-mathematics
rank-of-matrix
matrix
system-of-equations
0
votes
0
answers
3
Linear Algebra
MX = O is a homogeneous equation and such an equation when |M| = 0 has non trivial solution. M: Square Matrix O: Null Matrix Kindly help me with the above statement.
ryandany07
asked
in
Mathematical Logic
Aug 30
by
ryandany07
77
views
engineering-mathematics
linear-algebra
matrix
0
votes
1
answer
4
ISI 2020 | PCB Mathematics | Question: 3
Suppose $A$ is an $(n \times n)$ matrix over $\mathbb{R}$ such that $A^{p}=0$ for some positive integer $p$. Prove that $I+A$ is an invertible matrix, where $I$ is the $(n \times n)$ identity matrix. Find the characteristic polynomial of $A$.
Lakshman Patel RJIT
asked
in
Linear Algebra
Aug 8
by
Lakshman Patel RJIT
41
views
isi2020-pcb-mathematics
descriptive
linear-algebra
matrix
1
vote
1
answer
5
GATE-2014 EC
Which one of the following statements is NOT true for a square matrix A? If A is real symmetric, the eigen values of A are the diagonal elements of it. If all the principal minors of A are positive, all the eigen values of A are also positive. My question is what is “principal minors of A” ?
samarpita
asked
in
Linear Algebra
May 9
by
samarpita
180
views
linear-algebra
gate2014-ec-1
eigen-value
1
vote
1
answer
6
Eigen Values of an orthogonal matrix will always be +1 and the modulus will also be always |1|?
Eigen Values of an orthogonal matrix will always be +1 and the modulus will also be always |1|? I have a doubt on this point .
samarpita
asked
in
Linear Algebra
May 9
by
samarpita
925
views
linear-algebra
eigen-value
matrix
5
votes
2
answers
7
GATE CSE 2022 | Question: 10
Consider the following two statements with respect to the matrices $\textit{A}_{m \times n}, \textit{B}_{n \times m}, \textit{C}_{n \times n}$ and $ \textit{D}_{n \times n}.$ Statement $1: tr \text{(AB)} = tr \text{(BA)}$ ... $2$ is correct. Both Statement $1$ and Statement $2$ are correct. Both Statement $1$ and Statement $2$ are wrong.
Arjun
asked
in
Linear Algebra
Feb 15
by
Arjun
1.6k
views
gatecse-2022
linear-algebra
matrix
5
votes
3
answers
8
GATE CSE 2022 | Question: 35
Consider solving the following system of simultaneous equations using $\text{LU}$ decomposition. $x_{1} + x_{2} - 2x_{3} = 4$ $x_{1} + 3x_{2} - x_{3} = 7$ $2x_{1} + x_{2} - 5x_{3} = 7$ where $\textit{L}$ and $\textit{U}$ ... $\textit{L}_{32}= - \frac{1}{2}, \textit{U}_{33}= - \frac{1}{2}, x_{1}= 0$
Arjun
asked
in
Linear Algebra
Feb 15
by
Arjun
1.5k
views
gatecse-2022
linear-algebra
matrix
2
votes
1
answer
9
GATE CSE 2022 | Question: 43
Which of the following is/are the eigenvector(s) for the matrix given below? $\begin{pmatrix} - 9 & - 6 & - 2 & - 4 \\ - 8 & - 6 & - 3 & - 1 \\ 20 & 15 & 8 & 5 \\ 32 & 21 & 7 & 12 \end{pmatrix}$ ... $\begin{pmatrix} - 1 \\ 0 \\ 2 \\ 2 \end{pmatrix}$ $\begin{pmatrix} 0 \\ 1 \\ - 3 \\ 0 \end{pmatrix}$
Arjun
asked
in
Linear Algebra
Feb 15
by
Arjun
1.5k
views
gatecse-2022
linear-algebra
eigen-value
multiple-selects
0
votes
0
answers
10
(Solved now) Gateoverflow test doubt
In this question – https://gateoverflow.in/348646/Gate-overflow-linear-algebra-1-10 for $A=\begin{bmatrix} 0 & i\\ -i& 0 \end{bmatrix}$ how is (B) valid ?
o
asked
in
Linear Algebra
Jan 31
by
o
206
views
test-series
gateoverflow
linear-algebra
engineering-mathematics
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Recent questions tagged linear-algebra
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