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Search results for determinant
21
votes
4
answers
1
GATE CSE 2023 | Question: 8
Let \[ A=\left[\begin{array}{llll} 1 & 2 & 3 & 4 \\ 4 & 1 & 2 & 3 \\ 3 & 4 & 1 & 2 \\ 2 & 3 & 4 & 1 \end{array}\right] \] and \[ B=\left[\begin{array}{llll} 3 & 4 & ... $\operatorname{det}(B)=-\operatorname{det}(A)$ $\operatorname{det}(A)=0$ $\operatorname{det}(A B)=\operatorname{det}(A)+\operatorname{det}(B)$
Let\[A=\left[\begin{array}{llll}1 & 2 & 3 & 4 \\4 & 1 & 2 & 3 \\3 & 4 & 1 & 2 \\2 & 3 & 4 & 1\end{array}\right]\]and\[B=\left[\begin{array}{llll}3 & 4 & 1 & 2 \\4 & 1 & 2...
admin
11.3k
views
admin
asked
Feb 15, 2023
Linear Algebra
gatecse-2023
linear-algebra
determinant
1-mark
easy
+
–
27
votes
7
answers
2
GATE CSE 2019 | Question: 9
Let $X$ be a square matrix. Consider the following two statements on $X$. $X$ is invertible Determinant of $X$ is non-zero Which one of the following is TRUE? I implies II; II does not imply I II implies I; I does not imply II I does not imply II; II does not imply I I and II are equivalent statements
Let $X$ be a square matrix. Consider the following two statements on $X$.$X$ is invertibleDeterminant of $X$ is non-zeroWhich one of the following is TRUE?I implies II; I...
Arjun
10.6k
views
Arjun
asked
Feb 7, 2019
Linear Algebra
gatecse-2019
engineering-mathematics
linear-algebra
determinant
1-mark
+
–
43
votes
8
answers
3
GATE CSE 2014 Set 2 | Question: 4
If the matrix $A$ is such that $A= \begin{bmatrix} 2\\ −4\\7\end{bmatrix}\begin{bmatrix}1& 9& 5\end{bmatrix}$ then the determinant of $A$ is equal to ______.
If the matrix $A$ is such that $$A= \begin{bmatrix} 2\\ −4\\7\end{bmatrix}\begin{bmatrix}1& 9& 5\end{bmatrix}$$ then the determinant of $A$ is equal to ______.
go_editor
12.9k
views
go_editor
asked
Sep 28, 2014
Linear Algebra
gatecse-2014-set2
linear-algebra
numerical-answers
easy
determinant
+
–
29
votes
8
answers
4
GATE IT 2005 | Question: 3
The determinant of the matrix given below is $\begin{bmatrix} 0 &1 &0 &2 \\ -1& 1& 1& 3\\ 0&0 &0 & 1\\ 1& -2& 0& 1 \end{bmatrix}$ $-1$ $0$ $1$ $2$
The determinant of the matrix given below is$$\begin{bmatrix}0 &1 &0 &2 \\ -1& 1& 1& 3\\ 0&0 &0 & 1\\ 1& -2& 0& 1\end{bmatrix}$$$-1$$0$$1$$2$
Ishrat Jahan
23.3k
views
Ishrat Jahan
asked
Nov 3, 2014
Linear Algebra
gateit-2005
linear-algebra
normal
determinant
+
–
26
votes
4
answers
5
GO Classes CS/DA 2025 | Weekly Quiz 4 | Linear Algebra | Question: 12
If $P=\left[\begin{array}{lll}1 & \alpha & 3 \\ 1 & 3 & 3 \\ 2 & 4 & 4\end{array}\right]$ is the adjoint of a $3 \times 3$ matrix $\mathrm{A},$ and $\operatorname{det(A)}=4,$ then $\alpha$ equals to?
If $P=\left[\begin{array}{lll}1 & \alpha & 3 \\ 1 & 3 & 3 \\ 2 & 4 & 4\end{array}\right]$ is the adjoint of a $3 \times 3$ matrix $\mathrm{A},$ and $\operatorname{det(A)}...
GO Classes
1.2k
views
GO Classes
asked
Mar 29, 2023
Linear Algebra
goclasses2025_csda_wq4
numerical-answers
goclasses
linear-algebra
determinant
1-mark
+
–
4
votes
2
answers
6
GATE CSE 2023 | Memory Based Question: 13
Let $ A=\left[\begin{array}{llll} 1 & 2 & 3 & 4 \\ 4 & 1 & 2 & 3 \\ 3 & 4 & 1 & 2 \\ 2 & 3 & 4 & 1 \end{array}\right] $ ... $\operatorname{det} \mathrm{B}=-\operatorname{det} \mathrm{A}$ $\operatorname{det} \mathrm{A}=\operatorname{det} \mathrm{B}$
Let$$A=\left[\begin{array}{llll}1 & 2 & 3 & 4 \\4 & 1 & 2 & 3 \\3 & 4 & 1 & 2 \\2 & 3 & 4 & 1\end{array}\right]$$And$$B=\left[\begin{array}{llll}3 & 4 & 1 & 2 \\4 & 1 & 2...
GO Classes
2.5k
views
GO Classes
asked
Feb 5, 2023
Linear Algebra
memorybased-gatecse2023
goclasses
linear-algebra
determinant
+
–
19
votes
5
answers
7
GO Classes CS/DA 2025 | Weekly Quiz 4 | Linear Algebra | Question: 15
Suppose $\mathbf{A}=\mathbf{B C}$, where $\mathbf{B}$ is a $4 \times 2$ matrix and $\mathbf{C}$ is a $2 \times 4$ matrix. Is $\mathbf{A}$ invertible? Yes, $\mathbf{A}$ is invertible. No, $\mathbf{A}$ is not invertible. Depends on $\mathbf{C}$ only. Depends on $\mathbf{B}$ and $\mathbf{C}$.
Suppose $\mathbf{A}=\mathbf{B C}$, where $\mathbf{B}$ is a $4 \times 2$ matrix and $\mathbf{C}$ is a $2 \times 4$ matrix. Is $\mathbf{A}$ invertible?Yes, $\mathbf{A}$ is ...
GO Classes
1.2k
views
GO Classes
asked
Mar 29, 2023
Linear Algebra
goclasses2025_csda_wq4
goclasses
linear-algebra
determinant
1-mark
+
–
38
votes
6
answers
8
GATE CSE 2013 | Question: 3
Which one of the following does NOT equal $\begin{vmatrix} 1 & x & x^{2}\\ 1& y & y^{2}\\ 1 & z & z^{2} \end{vmatrix} \quad ?$ $\begin{vmatrix} 1& x(x+1)& x+1\\ 1& y(y+1) & y+1\\ 1& z(z+1) & z+1 \end{vmatrix}$ ...
Which one of the following does NOT equal $$\begin{vmatrix} 1 & x & x^{2}\\ 1& y & y^{2}\\ 1 & z & z^{2} \end{vmatrix} \quad ?$$$\begin{vmatrix} 1& x(x+1)& x+1\\ 1& y(y+1...
Arjun
9.3k
views
Arjun
asked
Sep 23, 2014
Linear Algebra
gatecse-2013
linear-algebra
normal
determinant
+
–
32
votes
2
answers
9
GO Classes CS/DA 2025 | Weekly Quiz 4 | Linear Algebra | Question: 7
Let $\mathrm{A}$ be a $3 \times 3$ matrix. Let $\mathbf{x}, \mathbf{y}, \mathbf{z}$ are linearly independent $3$ ... $\mathrm{A}$.
Let $\mathrm{A}$ be a $3 \times 3$ matrix. Let $\mathbf{x}, \mathbf{y}, \mathbf{z}$ are linearly independent $3$-dimensional vectors. Suppose that we have$$A \mathbf{x}=\...
GO Classes
1.4k
views
GO Classes
asked
Mar 29, 2023
Linear Algebra
goclasses2025_csda_wq4
numerical-answers
goclasses
linear-algebra
determinant
1-mark
+
–
2
votes
2
answers
10
Memory Based GATE DA 2024 | Question: 4
Consider the matrix \[ \mathrm{M} = \begin{bmatrix} 1 & 2 & 3 \\ 3 & 1 & 3 \\ 4 & 3 & 6 \end{bmatrix} \] Find the value of \(|\mathrm{M}^2 + 12M|\).
Consider the matrix\[\mathrm{M} = \begin{bmatrix}1 & 2 & 3 \\3 & 1 & 3 \\4 & 3 & 6\end{bmatrix}\]Find the value of \(|\mathrm{M}^2 + 12M|\).
GO Classes
535
views
GO Classes
asked
Feb 4
Linear Algebra
gate2024-da-memory-based
goclasses
linear-algebra
determinant
numerical-answers
+
–
16
votes
2
answers
11
GO Classes CS/DA 2025 | Weekly Quiz 4 | Linear Algebra | Question: 13
Given the following matrix: $ A=\left[\begin{array}{lll} 1 & 2 & 2 \\ 2 & 1 & 2 \\ 2 & 2 & 1 \end{array}\right] $ Consider the following statements: $A^2-4 A-5 I=0$ (where $I$ is ... following options is correct? Only $I$ is true. Only II is true. Both I and II are true. Neither I, nor II are true.
Given the following matrix:$$A=\left[\begin{array}{lll}1 & 2 & 2 \\2 & 1 & 2 \\2 & 2 & 1\end{array}\right]$$Consider the following statements:$A^2-4 A-5 I=0$ (where $I$ i...
GO Classes
975
views
GO Classes
asked
Mar 29, 2023
Linear Algebra
goclasses2025_csda_wq4
goclasses
linear-algebra
determinant
1-mark
+
–
26
votes
7
answers
12
GATE CSE 2000 | Question: 1.3
The determinant of the matrix $\begin{bmatrix}2 &0 &0 &0 \\ 8& 1& 7& 2\\ 2& 0&2 &0 \\ 9&0 & 6 & 1 \end{bmatrix}$ $4$ $0$ $15$ $20$
The determinant of the matrix $$\begin{bmatrix}2 &0 &0 &0 \\ 8& 1& 7& 2\\ 2& 0&2 &0 \\ 9&0 & 6 & 1 \end{bmatrix}$$$4$$0$$15$$20$
Kathleen
6.6k
views
Kathleen
asked
Sep 14, 2014
Linear Algebra
gatecse-2000
linear-algebra
easy
determinant
+
–
18
votes
5
answers
13
GATE CSE 1997 | Question: 1.3
The determinant of the matrix $\begin{bmatrix} 6 & -8 & 1 & 1 \\ 0 & 2 & 4 & 6 \\ 0 & 0 & 4 & 8 \\ 0 & 0 & 0 & -1 \end{bmatrix}$ $11$ $-48$ $0$ $-24$
The determinant of the matrix $\begin{bmatrix} 6 & -8 & 1 & 1 \\ 0 & 2 & 4 & 6 \\ 0 & 0 & 4 & 8 \\ 0 & 0 & 0 & -1 \end{bmatrix}$$11$$-48$$0$$-24$
Kathleen
4.0k
views
Kathleen
asked
Sep 29, 2014
Linear Algebra
gate1997
linear-algebra
normal
determinant
+
–
1
votes
1
answer
14
TIFR CSE 2022 | Part A | Question: 4
Consider the polynomial $p(x)=x^3-x^2+x-1$. How many symmetric matrices with integer entries are there whose characteristic polynomial is $p$? (Recall that the characteristic polynomial of a square matrix $A$ in the variable $x$ is defined to be the determinant of the matrix $(A-x I)$ where $I$ is the identity matrix.) $0$ $1$ $2$ $4$ Infinitely many
Consider the polynomial $p(x)=x^3-x^2+x-1$. How many symmetric matrices with integer entries are there whose characteristic polynomial is $p$? (Recall that the characteri...
admin
709
views
admin
asked
Sep 1, 2022
Linear Algebra
tifr2022
linear-algebra
matrix
determinant
+
–
11
votes
2
answers
15
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
+
–
1
votes
0
answers
16
Self doubt.
If A, B & C are matrices & AB=AC then B=C? as we know it is not always true because when A is singular matrix then B=C not possible so what is the right ans to say B=C is (always not equal) or (may or may not be equal) or (simply not equal)?
If A, B & C are matrices & AB=AC then B=C?as we know it is not always true because when A is singular matrix then B=C not possible so what is the right ans to say B=C is ...
Nisha Bharti
497
views
Nisha Bharti
asked
Sep 19, 2022
Linear Algebra
matrix
determinant
+
–
2
votes
1
answer
17
GO Classes Test Series 2023 | Linear Algebra | Test | Question: 9
Compute the determinant of $ A=\left[\begin{array}{cccc} 1 & -1 & 0 & 3\\ 2 & 5 & 2 & 6\\ 0 & 1 & 0 & 0\\ 1 & 4 & 2 & 1 \end{array}\right]. $
Compute the determinant of$$A=\left[\begin{array}{cccc}1 & -1 & 0 & 3\\2 & 5 & 2 & 6\\0 & 1 & 0 & 0\\1 & 4 & 2 & 1\end{array}\right].$$
GO Classes
381
views
GO Classes
asked
Aug 14, 2022
Linear Algebra
goclasses2024-la-weekly_quiz
numerical-answers
goclasses
linear-algebra
determinant
2-marks
+
–
0
votes
0
answers
18
Best Open Video Playlist for Determinants Topic | Linear Algebra
Please list out the best free available video playlist for Determinants Topic from Linear Algebra as an answer here (only one playlist per answer). We'll then select the best playlist and add to GO classroom video lists. ... standard ones are more likely to be selected as best. For the full list of selected videos please see here
Please list out the best free available video playlist for Determinants Topic from Linear Algebra as an answer here (only one playlist per answer). We'll then select the ...
makhdoom ghaya
232
views
makhdoom ghaya
asked
Aug 14, 2022
Study Resources
missing-videos
go-classroom
free-videos
video-links
determinant
+
–
9
votes
2
answers
19
ISRO2009-61
If $\begin{vmatrix} 3 && 3 \\ x && 5 \end{vmatrix} =3$ then the value of $x$ is $2$ $3$ $4$ $5$
If $\begin{vmatrix} 3 && 3 \\ x && 5 \end{vmatrix} =3$ then the value of $x$ is$2$$3$$4$$5$
go_editor
1.6k
views
go_editor
asked
Jun 15, 2016
Linear Algebra
isro2009
linear-algebra
matrix
determinant
+
–
2
votes
1
answer
20
Applied Grand Test 2
What is the value of the given determinant ?
What is the value of the given determinant ?
LRU
769
views
LRU
asked
Nov 22, 2021
Linear Algebra
linear-algebra
test-series
determinant
+
–
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