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Recent questions tagged matrix
6
votes
2
answers
301
ISRO2014-72
The rank of the matrix $A=\begin{pmatrix} 1 & 2 & 1 & -1\\ 9& 5& 2& 2\\ 7& 1& 0 & 4 \end{pmatrix}$ is ______ . $0$ $1$ $2$ $3$
The rank of the matrix $A=\begin{pmatrix} 1 & 2 & 1 & -1\\ 9& 5& 2& 2\\ 7& 1& 0 & 4 \end{pmatrix}$ is ______ .$0$$1$$2$$3$
Isha Gupta
4.5k
views
Isha Gupta
asked
Jun 23, 2016
Linear Algebra
matrix
linear-algebra
isro2014
rank-of-matrix
+
–
10
votes
2
answers
302
ISRO2011-36
If $\text{A}$ and $\text{B}$ are square matrices with same order and $\text{A}$ is symmetric, then $\text{B}^{\text{T}}\text{AB}$ is Skew symmetric Symmetric Orthogonal Idempotent
If $\text{A}$ and $\text{B}$ are square matrices with same order and $\text{A}$ is symmetric, then $\text{B}^{\text{T}}\text{AB}$ isSkew symmetricSymmetricOrthogonalIdemp...
go_editor
3.7k
views
go_editor
asked
Jun 22, 2016
Linear Algebra
isro2011
linear-algebra
matrix
+
–
9
votes
2
answers
303
ISRO2009-62
If $\text{A, B, C}$ are any three matrices, then $\text{A}'+\text{B}'+\text{C}' $ is equal to a null matrix $\text{A + B + C}$ $\text{(A + B + C)}'$ $\text{-(A + B + C})$
If $\text{A, B, C}$ are any three matrices, then $\text{A}'+\text{B}'+\text{C}' $ is equal toa null matrix$\text{A + B + C}$$\text{(A + B + C)}'$$\text{-(A + B + C})$
go_editor
3.0k
views
go_editor
asked
Jun 15, 2016
Linear Algebra
isro2009
linear-algebra
matrix
+
–
9
votes
2
answers
304
ISRO2009-61
If $\begin{vmatrix} 3 && 3 \\ x && 5 \end{vmatrix} =3$ then the value of $x$ is $2$ $3$ $4$ $5$
If $\begin{vmatrix} 3 && 3 \\ x && 5 \end{vmatrix} =3$ then the value of $x$ is$2$$3$$4$$5$
go_editor
1.6k
views
go_editor
asked
Jun 15, 2016
Linear Algebra
isro2009
linear-algebra
matrix
determinant
+
–
11
votes
2
answers
305
ISRO2009-60
If two adjacent rows of a determinant are interchanged, the value of the determinant becomes zero remains unaltered becomes infinitive becomes negative of its original value
If two adjacent rows of a determinant are interchanged, the value of the determinantbecomes zeroremains unalteredbecomes infinitivebecomes negative of its original value
go_editor
2.3k
views
go_editor
asked
Jun 15, 2016
Linear Algebra
isro2009
linear-algebra
matrix
determinant
+
–
8
votes
2
answers
306
ISRO2009-59
A square matrix $\text{A}$ is called orthogonal if $\text{A}'\text{A}=$ $\text{I}$ $\text{A}$ $-\text{A}$ $-\text{I}$
A square matrix $\text{A}$ is called orthogonal if $\text{A}'\text{A}=$$\text{I}$$\text{A}$$-\text{A}$$-\text{I}$
go_editor
2.7k
views
go_editor
asked
Jun 15, 2016
Linear Algebra
isro2009
linear-algebra
matrix
+
–
8
votes
4
answers
307
ISRO2008-34
If a square matrix A satisfies $A^TA=I$, then the matrix $A$ is Idempotent Symmetric Orthogonal Hermitian
If a square matrix A satisfies $A^TA=I$, then the matrix $A$ isIdempotentSymmetricOrthogonalHermitian
go_editor
3.4k
views
go_editor
asked
Jun 12, 2016
Linear Algebra
isro2008
linear-algebra
matrix
+
–
5
votes
3
answers
308
ISRO2007-09
Eigen vectors of $\begin{bmatrix} 1 && \cos \theta \\ \cos \theta && 1 \end{bmatrix}$ are $\begin{bmatrix} a^n && 1 \\ 0 && a^n \end{bmatrix}$ $\begin{bmatrix} a^n && n \\ 0 && a^n \end{bmatrix}$ ... $\begin{bmatrix} a^n && na^{n-1} \\ -n && a^n \end{bmatrix}$
Eigen vectors of $\begin{bmatrix} 1 && \cos \theta \\ \cos \theta && 1 \end{bmatrix}$ are$\begin{bmatrix} a^n && 1 \\ 0 && a^n \end{bmatrix}$$\begin{bmatrix} a^n && n \\ ...
go_editor
4.0k
views
go_editor
asked
Jun 10, 2016
Linear Algebra
isro2007
linear-algebra
matrix
eigen-value
+
–
0
votes
1
answer
309
IISC-CSA-Research-Test-1
What is the determinant of the following matrix? $\begin{matrix} 76 && 18 && 34 \\ 14 && 12 && 6 \\ 90 && 30 && 40 \end{matrix}$
What is the determinant of the following matrix?$\begin{matrix} 76 && 18 && 34 \\ 14 && 12 && 6 \\ 90 && 30 && 40 \end{matrix}$
go_editor
449
views
go_editor
asked
Jun 7, 2016
Linear Algebra
iisccsaresearch2016
descriptive
linear-algebra
matrix
+
–
0
votes
1
answer
310
Find the determinant
sh!va
466
views
sh!va
asked
Jun 5, 2016
Unknown Category
matrix
+
–
2
votes
1
answer
311
1000th power of a matrix
Find the 1000_th power of the matrix -
Find the 1000_th power of the matrix -
Himanshu1
1.4k
views
Himanshu1
asked
Jun 3, 2016
Linear Algebra
linear-algebra
matrix
+
–
10
votes
2
answers
312
ISRO2009-63
$\begin{vmatrix} 265 && 240 && 219 \\ 240 && 225 && 198 \\ 219 && 198 && 181 \\ \end{vmatrix} = $ $779$ $679$ $0$ $256$
$\begin{vmatrix} 265 && 240 && 219 \\ 240 && 225 && 198 \\ 219 && 198 && 181 \\ \end{vmatrix} = $$779$$679$$0$$256$
Desert_Warrior
3.5k
views
Desert_Warrior
asked
Jun 3, 2016
Linear Algebra
isro2009
linear-algebra
matrix
determinant
+
–
1
votes
2
answers
313
ISI2011-PCB-A-2b
An $n \times n$ matrix is said to be tridiagonal if its entries $a_{ij}$ are zero except when $|i−j| \leq 1$ for $1 \leq i, \: j \leq n$. Note that only $3n − 2$ entries of a tridiagonal matrix are non-zero. Thus, an array $L$ of size ... matrix. Given $i, j$, write pseudo-code to store $a_{ij}$ in $L$, and get the value of $a_{ij}$ stored earlier in $L$.
An $n \times n$ matrix is said to be tridiagonal if its entries $a_{ij}$ are zero except when $|i−j| \leq 1$ for $1 \leq i, \: j \leq n$. Note that only $3n −...
go_editor
770
views
go_editor
asked
Jun 3, 2016
Linear Algebra
descriptive
isi2011
linear-algebra
matrix
+
–
1
votes
1
answer
314
Find the Eigen Vector
Find the Eigenvector of $\begin{bmatrix} 1 & cos\theta\\ cos \theta & 1 \end{bmatrix}$
Find the Eigenvector of $\begin{bmatrix} 1 & cos\theta\\ cos \theta & 1 \end{bmatrix}$
Anuanu
1.6k
views
Anuanu
asked
Jun 2, 2016
Linear Algebra
linear-algebra
matrix
+
–
9
votes
1
answer
315
ISRO2008-31
If the two matrices $\begin{bmatrix} 1 &0 &x \\ 0 & x& 1\\ 0 & 1 & x \end{bmatrix}$ and $\begin{bmatrix} x &1 &0 \\ x & 0& 1\\ 0 & x & 1 \end{bmatrix}$ have the same determinant, then the value of $x$ is $\frac{1}{2}$ $\sqrt2$ $\pm \frac{1}{2}$ $\pm \frac{1}{\sqrt2}$
If the two matrices $\begin{bmatrix} 1 &0 &x \\ 0 & x& 1\\ 0 & 1 & x \end{bmatrix}$ and $\begin{bmatrix} x &1 &0 \\ x & 0& 1\\ 0 & x & 1 \end{bmatrix}$ have the same dete...
jaiganeshcse94
2.3k
views
jaiganeshcse94
asked
May 31, 2016
Linear Algebra
isro2008
linear-algebra
matrix
determinant
+
–
11
votes
3
answers
316
ISI2016
Let $A$ be a matrix such that: $A=\begin{pmatrix} -1 & 2\\ 0 & -1 \end{pmatrix}$ and $B=A+A^2+A^3+\ldots +A^{50}$. Then which of the following is true? $B^{2}=I$ $B^{2}=0$ $B^{2}=B$ None of the above
Let $A$ be a matrix such that:$A=\begin{pmatrix} -1 & 2\\ 0 & -1 \end{pmatrix}$and $B=A+A^2+A^3+\ldots +A^{50}$. Then which of the following is true?$B^{2}=I$$B^{2}=0$$B^...
abhi18459
1.6k
views
abhi18459
asked
May 9, 2016
Linear Algebra
isi2016
matrix
+
–
1
votes
1
answer
317
Gate 2013 IN What do you mean by dimension of null space?
pC
2.0k
views
pC
asked
May 3, 2016
Linear Algebra
matrix
+
–
0
votes
1
answer
318
sparse matrix
How many real links are required to store a sparse matrix of 10 rows , 10 columns ,and 15 non zeros entries.(pick up the closest answer)
How many real links are required to store a sparse matrix of 10 rows , 10 columns ,and 15 non zeros entries.(pick up the closest answer)
neha singh
2.6k
views
neha singh
asked
Mar 11, 2016
DS
data-structures
sparse-matrix
matrix
+
–
2
votes
5
answers
319
linearalgebra
if $A = \begin{bmatrix} 2 &3 &4 \\ 3 & -1 &2 \\ -1& 4 & 5 \end{bmatrix}$ then rank of the matrix $(A-A^T)$ is _____ (A) $1$ (B) $2$ (C) $3$ (D) $0$
if $A = \begin{bmatrix} 2 &3 &4 \\ 3 & -1 &2 \\ -1& 4 & 5 \end{bmatrix}$ then rank of the matrix $(A-A^T)$ is _____(A) $1$ (B) $2$ (C...
Registered user 7
827
views
Registered user 7
asked
Feb 3, 2016
Linear Algebra
matrix
linear-algebra
+
–
0
votes
1
answer
320
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
+
–
0
votes
0
answers
321
groups
Pranav Gupta 1
201
views
Pranav Gupta 1
asked
Jan 20, 2016
Linear Algebra
linear-algebra
matrix
+
–
0
votes
2
answers
322
Determinant of matrix
What is the determinant of matrix 2A. determinant of matrix A is 3. and IT is 4 by 4 matrix?
What is the determinant of matrix 2A. determinant of matrix A is 3. and IT is 4 by 4 matrix?
Pradip Nichite
1.4k
views
Pradip Nichite
asked
Jan 18, 2016
Linear Algebra
linear-algebra
matrix
+
–
1
votes
1
answer
323
Matrix multiplication 1
I want to ask about the equation i hv marked a question mark. (p-1qp)n=p-1qnp how?? Why is there no power on matrix p ?
I want to ask about the equation i hv marked a question mark.(p-1qp)n=p-1qnp how??Why is there no power on matrix p ?
khushtak
778
views
khushtak
asked
Jan 4, 2016
Linear Algebra
matrix
linear-algebra
+
–
1
votes
2
answers
324
matrix
resuscitate
1.3k
views
resuscitate
asked
Jan 3, 2016
Linear Algebra
matrix
linear-algebra
+
–
0
votes
1
answer
325
matrix
how to solve??
how to solve??
resuscitate
567
views
resuscitate
asked
Jan 3, 2016
Linear Algebra
matrix
linear-algebra
+
–
5
votes
2
answers
326
TIFR-2015-Maths-B-5
Let $n \geq 1$ and let $A$ be an $n \times n$ matrix with real entries such that $A^{k}=0$, for some $k \geq 1$. Let $I$ be the identity $n \times n$ matrix. Then. $I+A$ need not be invertible. Det $(I+A)$ can be any non-zero real number. Det $(I+A) = 1$ $A^{n}$ is a non-zero matrix.
Let $n \geq 1$ and let $A$ be an $n \times n$ matrix with real entries such that $A^{k}=0$, for some $k \geq 1$. Let $I$ be the identity $n \times n$ matrix. Then.$I+A$ n...
makhdoom ghaya
930
views
makhdoom ghaya
asked
Dec 20, 2015
Linear Algebra
tifrmaths2015
linear-algebra
matrix
+
–
5
votes
2
answers
327
TIFR-2015-Maths-A-6
Let $A$ be the $2 \times 2$ matrix $\begin{pmatrix} \sin\frac{\pi}{18}&-\sin \frac{4\pi}{9} \\ \sin \frac{4\pi}{9}&\sin \frac {\pi}{18} \end{pmatrix}$. Then the smallest number $n \in \mathbb{N}$ such that $A^{n}=1$ is. $3$ $9$ $18$ $27$
Let $A$ be the $2 \times 2$ matrix $\begin{pmatrix}\sin\frac{\pi}{18}&-\sin \frac{4\pi}{9} \\\sin \frac{4\pi}{9}&\sin \frac {\pi}{18}\end{pmatrix}$. Then the smallest num...
makhdoom ghaya
685
views
makhdoom ghaya
asked
Dec 19, 2015
Linear Algebra
tifrmaths2015
matrix
linear-algebra
+
–
1
votes
1
answer
328
TIFR-2015-Maths-A-3
Let $A$ be a $10 \times 10$ matrix with complex entries such that all its eigenvalues are non-negative real numbers, and at least one eigenvalue is positive. Which of the following statements is always false ? There exists a matrix $B$ such that $AB-BA = B$ There exists a ... $AB-BA = A$ There exists a matrix $B$ such that $AB+BA=A$ There exists a matrix $B$ such that $AB+BA=B$
Let $A$ be a $10 \times 10$ matrix with complex entries such that all its eigenvalues are non-negative real numbers, and at least one eigenvalue is positive. Which of the...
makhdoom ghaya
615
views
makhdoom ghaya
asked
Dec 19, 2015
Linear Algebra
tifrmaths2015
linear-algebra
matrix
eigen-value
+
–
7
votes
2
answers
329
TIFR-2015-Maths-A-1
Let $A$ be an invertible $10 \times 10$ matrix with real entries such that the sum of each row is $1$. Then The sum of the entries of each row of the inverse of $A$ is $1$ The sum of the entries of each column of the inverse of $A$ is $1$ The trace of the inverse of $A$ is non-zero None of the above
Let $A$ be an invertible $10 \times 10$ matrix with real entries such that the sum of each row is $1$. ThenThe sum of the entries of each row of the inverse of $A$ is $1$...
makhdoom ghaya
2.0k
views
makhdoom ghaya
asked
Dec 19, 2015
Linear Algebra
tifrmaths2015
linear-algebra
matrix
+
–
1
votes
1
answer
330
TIFR-2014-Maths-A-11
Let $A$ be an $n \times n$ matrix with real entries such that $A^{k}=0$ (0-matrix), for some $k \in \mathbb{N}$. Then $A$ has to be the $0$ matrix Trace$(A)$ could be non-zero $A$ is diagonalizable $0$ is the only eigenvalue of $A$
Let $A$ be an $n \times n$ matrix with real entries such that $A^{k}=0$ (0-matrix), for some $k \in \mathbb{N}$. Then$A$ has to be the $0$ matrix Trace$(A)$ could be non-...
makhdoom ghaya
430
views
makhdoom ghaya
asked
Dec 17, 2015
Linear Algebra
tifrmaths2014
linear-algebra
matrix
+
–
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