Recent questions tagged linear-algebra

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1

ISI-MMA-2015-44
Let $P_{1},P_{2},$ and $P_{3}$ denote, respectively, the planes defined by $a_{1}x + b_{1}y + c_{1}z = \alpha _{1}$ $a_{2}x + b_{2}y + c_{2}z = \alpha _{2}$ $a_{3}x + b_{3}y + c_{3}z = \alpha _{3}$ It is given ... then the planes (A) do not have any common point of intersection (B) intersect at a unique point (C) intersect along a straight line (D) intersect along a plane

asked Feb 22 in Linear Algebra by ankitgupta.1729 Boss (10.7k points) | 58 views

+2 votes

3 answers

2

GATE2019-9
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

asked Feb 7 in Linear Algebra by Arjun Veteran (395k points) | 1.6k views

+3 votes

3 answers

3

GATE2019-44
Consider the following matrix: $R = \begin{bmatrix} 1 & 2 & 4 & 8 \\ 1 & 3 & 9 & 27 \\ 1 & 4 & 16 & 64 \\ 1 & 5 & 25 & 125 \end{bmatrix}$ The absolute value of the product of Eigen values of $R$ is _______

asked Feb 7 in Linear Algebra by Arjun Veteran (395k points) | 2.1k views

+1 vote

1 answer

4

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 Active (1.2k points) | 99 views

0 votes

1 answer

5

Simple Determinant
how to prove determinant 1 and 2 are same by some row-column manipulation ,please Help??

asked Jan 19 in Linear Algebra by BHASHKAR (31 points) | 45 views

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1 answer

6

Made Easy Workbook
Let A be a 3*3 matrix whose characteristics roots are 3,2,-1. If $B=A^2-A$ then |B|=? a)24 b)-2 c)12 d)-12 Please explain in detail.

asked Jan 19 in Linear Algebra by Reshu $ingh (369 points) | 83 views

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1 answer

7

GATEBOOK-2019 Mock Test1-12
All the four entries of $2\times 2$ matrix $P = \begin{vmatrix} p_{11} \quad p_{12} \\ p_{21} \quad p_{22} \end{vmatrix}$ are non zero , and one of its eigen values is zero. Which of the following statements is TRUE? $p_{11}p_{22} - p_{12}p_{21} = 1$ $p_{11}p_{22} - p_{12}p_{21} = -1$ $p_{11}p_{22} - p_{12}p_{21} = 0$ $p_{11}p_{22} + p_{12}p_{21} = 0$

asked Jan 19 in Others by GATEBOOK Boss (17.2k points) | 84 views

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1 answer

8

MadeEasy Full Length Test 2019: Engineering Mathematics - Linear Algebra

asked Jan 16 in Linear Algebra by roman_1997 (163 points) | 61 views

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9

Recurrence Relation for Array
A two dimensional array is stored in column major form in memory if the elements are stored in the following sequence ... calculated as the column number of the element we are looking for summing with the $row \times column$ number of elements. How does the above recurrence relation work?

asked Jan 7 in DS by kauray (321 points) | 66 views

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10

Doubt on syllabus
Is LU decomposition in course for GATE 2019?

asked Jan 6 in Linear Algebra by subho16 (189 points) | 40 views

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11

Eigen Values Doubt
Let there is a 2*2 Matrix and their eigen values are A and B. The eigen values of $(A+7I)^{-1}$ ?

asked Jan 4 in Linear Algebra by Shamim Ahmed Active (2.5k points) | 78 views

0 votes

0 answers

12

The time complexity for the possible ways of multiplying the given set of n matrices.

asked Jan 1 in Algorithms by susgir2 Active (1.5k points) | 27 views

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13

doubt
how can we find factor of determinant by hit and trial method ? Please explain the steps https://gateoverflow.in/ask?cat=33

asked Dec 26, 2018 in Linear Algebra by Satbir Loyal (5.9k points) | 15 views

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0 answers

14

Are proofs important at this time while I am preparing Engineering Mathematics?
Good Morning I am preparing Engineering Mathematics now and as the time is less, does proofs matters to learn? Thank you in Advance

asked Dec 24, 2018 in Mathematical Logic by sambana (49 points) | 64 views

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15

Zeal Test Series 2019: Linear Algebra - Eigen Value

asked Dec 21, 2018 in Linear Algebra by Prince Sindhiya Loyal (6.3k points) | 76 views

+5 votes

2 answers

16

TIFR2019-A-3
$A$ is $n*n$ square matrix for which the entries in every row sum to $1$.Consider the following statements: $(i)$ The column vector $[1,1,….,1]^T$ is an eigenvector of $A.$ $(ii) det(A-I) = 0$ $(iii) det(A) = 0$ Which of the above statements must be TRUE? Only $(i)$ Only $(ii)$ Only $(i)$ and $(ii)$ Only $(i)$ and $(iii)$ $(i),(ii) and(iii)$

asked Dec 18, 2018 in Linear Algebra by Arjun Veteran (395k points) | 391 views

+3 votes

1 answer

17

Ace test series

asked Dec 9, 2018 in Linear Algebra by abhishekmehta4u Boss (33.4k points) | 67 views

0 votes

1 answer

18

Ace Test Series: Linear Algebra - Eigen Values

asked Dec 7, 2018 in Linear Algebra by Sumit Kushwah (15 points) | 131 views

+1 vote

0 answers

19

MadeEasy Test Series: Linear Algebra - Eigen Value
A 3 X 3 matrix P has 3 eigen values $-1 , 0.5 , 3$ What will be eigen values of $P^{2} + 2P + I$

asked Dec 2, 2018 in Linear Algebra by jatin khachane 1 Loyal (7.1k points) | 80 views

+1 vote

0 answers

20

Self Doubt
Relation between rank and number of non-zero eigenvalues of a matrix If Rank of n X n matrix is r, then number of non zero eigen values ?? In either of cases det(A) = 0 or if det(A) not equal 0

asked Nov 29, 2018 in Linear Algebra by jatin khachane 1 Loyal (7.1k points) | 26 views

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0 answers

21

Matrices
The number of binary matrices of order $N*N$ whose determinant is exactly zero.

asked Nov 29, 2018 in Linear Algebra by HeadShot Active (4.9k points) | 28 views

0 votes

1 answer

22

Gilbert_Strang_LU_Decomposition
For which numbers c is $A=LU$ impossible? $\begin{bmatrix} 1 & 2 &0 \\ 3 & c &1 \\ 0 &1 &1 \end{bmatrix}$

asked Nov 18, 2018 in Linear Algebra by Ayush Upadhyaya Boss (25.3k points) | 78 views

+2 votes

1 answer

23

Cases when LU decomposition is possible.
I had already visited below link but was unable to grasp it. https://math.stackexchange.com/questions/218770/when-does-a-square-matrix-have-an-lu-decomposition. I made some form of self-analysis, 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 Boss (25.3k points) | 172 views

+1 vote

0 answers

24

Zeal Test Series 2019: Linear Algebra - Matrices

asked Nov 17, 2018 in Linear Algebra by Prince Sindhiya Loyal (6.3k points) | 55 views

0 votes

1 answer

25

Linear Algebra-METest
If the determinant of the below matrix is 245, what is the value of X? $\begin{bmatrix} 0 & 4& 2 &1 \\ 3& -1 & 0 & 2\\ 5&2 & x& 4\\ 6& 1 & -1 & 0 \end{bmatrix}$ ... , because by keeping 6 in place of x I am getting determinant as 245(Result verified by computer program). Please let me know where I am going wrong?

asked Nov 17, 2018 in Linear Algebra by Ayush Upadhyaya Boss (25.3k points) | 131 views

0 votes

0 answers

26

#math combat
If $A$ is $2\times 2$ matrix ,eigen value is $1,-2$ and corresponding eigen vector $[1,2]^{T}$ and $[9,1]^{T}$.find sum of element of the matrix $A.$

asked Nov 15, 2018 in Linear Algebra by amit166 Junior (761 points) | 65 views

+1 vote

1 answer

27

Linear Algebra_25
Let AX=B be a system of n linear equations in n unknown with integer coefficient and the components of B are all integer. Consider the following (1)det(A)=1 (2)det(A)=0 (3)Solution X has integer entries (4)Solution X does not have all integer entries For the given system ... then 3 holds true (c)If 1, then 4 holds true (d)If 2, then 3 holds true I think (d) should be the answer.

asked Nov 15, 2018 in Linear Algebra by Ayush Upadhyaya Boss (25.3k points) | 90 views

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28

#books q
the number of algebric terms in expansion of a determinant of order 5 is

asked Nov 13, 2018 in Linear Algebra by amit166 Junior (761 points) | 41 views

+1 vote

1 answer

29

Eigen Vector

asked Nov 7, 2018 in Linear Algebra by Na462 Loyal (8.7k points) | 214 views

0 votes

0 answers

30

GATE-ME-2016

asked Nov 6, 2018 in Linear Algebra by aditi19 Active (2.9k points) | 98 views

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