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Recent questions tagged determinant
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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
548
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GO Classes
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Feb 4
Linear Algebra
gate2024-da-memory-based
goclasses
linear-algebra
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32
votes
2
answers
2
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$$A \mathbf{x}=\...
GO Classes
1.5k
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GO Classes
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Mar 29, 2023
Linear Algebra
goclasses2025_csda_wq4
numerical-answers
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linear-algebra
determinant
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27
votes
4
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GO Classes CS/DA 2025 | Weekly Quiz 4 | Linear Algebra | Question: 12
If $P=\left[\begin{array}{lll}1 & \alpha & 3 \\ 1 & 3 & 3 \\ 2 & 4 & 4\end{array}\right]$ is the adjoint of a $3 \times 3$ matrix $\mathrm{A},$ and $\operatorname{det(A)}=4,$ then $\alpha$ equals to?
If $P=\left[\begin{array}{lll}1 & \alpha & 3 \\ 1 & 3 & 3 \\ 2 & 4 & 4\end{array}\right]$ is the adjoint of a $3 \times 3$ matrix $\mathrm{A},$ and $\operatorname{det(A)}...
GO Classes
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GO Classes
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Mar 29, 2023
Linear Algebra
goclasses2025_csda_wq4
numerical-answers
goclasses
linear-algebra
determinant
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16
votes
2
answers
4
GO Classes CS/DA 2025 | Weekly Quiz 4 | Linear Algebra | Question: 13
Given the following matrix: $ A=\left[\begin{array}{lll} 1 & 2 & 2 \\ 2 & 1 & 2 \\ 2 & 2 & 1 \end{array}\right] $ Consider the following statements: $A^2-4 A-5 I=0$ (where $I$ is ... following options is correct? Only $I$ is true. Only II is true. Both I and II are true. Neither I, nor II are true.
Given the following matrix:$$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
1.0k
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GO Classes
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Mar 29, 2023
Linear Algebra
goclasses2025_csda_wq4
goclasses
linear-algebra
determinant
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19
votes
5
answers
5
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
1.3k
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GO Classes
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Mar 29, 2023
Linear Algebra
goclasses2025_csda_wq4
goclasses
linear-algebra
determinant
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21
votes
4
answers
6
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
11.4k
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admin
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Feb 15, 2023
Linear Algebra
gatecse-2023
linear-algebra
determinant
1-mark
easy
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4
votes
2
answers
7
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
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GO Classes
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Feb 5, 2023
Linear Algebra
memorybased-gatecse2023
goclasses
linear-algebra
determinant
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1
votes
0
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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
501
views
Nisha Bharti
asked
Sep 19, 2022
Linear Algebra
matrix
determinant
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–
1
votes
1
answer
9
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
719
views
admin
asked
Sep 1, 2022
Linear Algebra
tifr2022
linear-algebra
matrix
determinant
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0
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0
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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
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2
votes
1
answer
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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
388
views
GO Classes
asked
Aug 14, 2022
Linear Algebra
goclasses2024-la-weekly_quiz
numerical-answers
goclasses
linear-algebra
determinant
2-marks
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–
2
votes
1
answer
12
Applied Grand Test 2
What is the value of the given determinant ?
What is the value of the given determinant ?
LRU
782
views
LRU
asked
Nov 22, 2021
Linear Algebra
linear-algebra
test-series
determinant
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3
votes
1
answer
13
Applied Test Series
What is the value of the determinant ?
What is the value of the determinant ?
LRU
637
views
LRU
asked
Nov 13, 2021
Linear Algebra
test-series
engineering-mathematics
determinant
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