Recent questions and answers in Linear Algebra - GATE CSE Doubts

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SELF DOUBT: PREVIOUS GO

answered 20 hours ago in Linear Algebra by SuvasishDutta (152 points) | 32 views

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MATHS PREVIOUS YEAR SELF DOUBT
https://gateoverflow.in/118618/gate2017-2-52 SUPPOSE THE EIGEN VALUES AFTER SOLVING WOULD BE -2,-6,4 then the largest among the absolute values of the eigenvalues of MM is _______? WILL THE ANSWER BE 6 BECAUSE LARGEST OF ABSOLUTE OF EIGEN VALUE IS 6 ? AM I DOING RIGHT?

asked 3 days ago in Linear Algebra by eyeamgj (26 points) | 9 views

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ISRO 2007 qno. 9
Can some one please provide the solution to the problem given in the link: https://gateoverflow.in/49479/isro2007-09 Thank you

asked 6 days ago in Linear Algebra by Pratyush Priyam Kuan (735 points) | 13 views

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Eigen vector self doubt
How are they getting [0,1,0] From the first row I’m getting -x1=0 so x1=0 from the 2nd row x3=0 from 3rd row 2x1+x3=0 2x1=0 since x3=0 so x1=0 Where did i go wrong

answered Jan 5 in Linear Algebra by shashin (1.2k points) | 10 views

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Maths Matrices
For the following set of simultaneous equations 1.5x – 0.5y +z =2 4x + 2y + 3z =9 7x + y +5z =10 The solution is unique infinitely many solutions exist the equations are incompatible finite many solutions exist Anyone please clarify.

answered Jan 1 in Linear Algebra by pranay562 (875 points) | 17 views

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ACE Practice Mock 2 Q22
can someone please explain to me how to find the no of independent eigenvectors?

asked Dec 29, 2019 in Linear Algebra by Khushboosahuu (6 points) | 20 views

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MadeEasy FULL SYLLABUS TEST-1 (BASIC LEVEL) GATE 2020 Q49

asked Dec 29, 2019 in Linear Algebra by DukeThunders (402 points) | 33 views

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Ace Academy Full length Mock test 3 Q17

asked Dec 21, 2019 in Linear Algebra by ssap09 (42 points) | 10 views

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1 answer

Ace Practice questions Linear Algebra
If ‘A’ is a non singular matrix and $(I-A+A^{2}-.....+(-1)^{n}A^{n})=0$ then $A^{-1}$ = _______________

answered Dec 13, 2019 in Linear Algebra by amit166 (138 points) | 13 views

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ACE Mock Test Sets
Question: One quarter of 5 element subsets of {1,2,3,4,….n} contain 7, then n = ? My answer: $\frac{C(n-1,4)}{C(n,5)} = \frac{1}{4} \Rightarrow n = 20$ Given answer: $\frac{C(n,4)}{C(n,5)} = \frac{1}{4} \Rightarrow n = 24$ I think I am correct because once we consider 7 as an element we can choose only 4 remaining elements, but can you please confirm the same?

asked Dec 5, 2019 in Linear Algebra by tamaldeepmaity (16 points) | 7 views

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#math test questions
solve this

asked Dec 5, 2019 in Linear Algebra by amit166 (138 points) | 5 views

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#doubt in linear algebra
# Eigenvectors of real symmetric matrices are orthogonal .

asked Dec 5, 2019 in Linear Algebra by amit166 (138 points) | 5 views

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MOCK TESTS GATEFORUM
The matrix A has (1, 2, 1)^T and (1, 1, 0)^T as eigenvectors, both with eigenvalue 7, and its trace is 2. The determinant of A is __________ . (A) 84 (B) 588 (C) 49 (D) None of these

asked Dec 3, 2019 in Linear Algebra by Dipanshu Rana (34 points) | 5 views

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GATE GURU:LINEAR ALGEBRA

answered Nov 14, 2019 in Linear Algebra by Verma Ashish (386 points) | 32 views

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GATE GURU: LA
How to approach these kind of sums? A9 means $A^9$

answered Nov 10, 2019 in Linear Algebra by Satbir (4.1k points) | 26 views

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Gate 2014 IN
A scalar valued function is defined as $F(X)=X^{T}AX+B^{T}X+C$ where A is symmetric positive definite matrix with dimension n*n; B and X are vector of dimension n *1.the minimum value of f(X) will occur when X Equal.

asked Nov 10, 2019 in Linear Algebra by amit166 (138 points) | 8 views

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Gate 2014 EE
$A=\begin{bmatrix} & 0 &1&-1& \\ & -6&-11&6& \\ & -6&-11&5 & \end{bmatrix}$ The absolute value of the ratio of the maximum eigenvalue to the minimum eigenvalue is

asked Nov 10, 2019 in Linear Algebra by amit166 (138 points) | 14 views

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ACE Test Series: Matrix
If $Adj$ $A=\begin{bmatrix} -18 &-11&-10 \\ 2 & 14 &-4 \\ 4 & 5 & -8 \end{bmatrix}$, then absolute value of determinant of $A$ is __________

asked Nov 10, 2019 in Linear Algebra by srestha (635 points) | 17 views

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Gate 98 CE questions
The real symmetric matrix C corresponding to the quadratic form $Q=x_{1}x_{2}-5x_{2}x_{2}$ is

asked Nov 9, 2019 in Linear Algebra by amit166 (138 points) | 4 views

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homogeneous linear equation doubt
I have a doubt it may be simple but I am not able to understand . so, please help In homogeneous linear equation if r is the rank of the matrix. We know that row rank=column rank=rank of the matrix. My doubt is here the number of ... so number of independent variable is r .so how is the number of independent solutions is n-r. Please someone clear this doubt .

asked Nov 1, 2019 in Linear Algebra by Pratyush Priyam Kuan (735 points) | 18 views

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1 answer

GRADE UP: FREE test

answered Oct 22, 2019 in Linear Algebra by Verma Ashish (386 points) | 28 views

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1 answer

GATE GURU TEST SERIES: LINEAR ALGEBRA

answered Oct 21, 2019 in Linear Algebra by Satbir (4.1k points) | 37 views

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1 answer

MADE EASY: LINEAR ALGEBRA

answered Oct 21, 2019 in Linear Algebra by GAITONDE (1.6k points) | 18 views

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Testbook Test series: Linear algebra
Let M be a 3 x 3 matrix such that M$\begin{pmatrix} -2\\ 1\\ 0 \end{pmatrix}$=$\begin{pmatrix} 6\\ -3\\ 0 \end{pmatrix}$ and suppose that $M^{3}$\begin{pmatrix} 1\\ -1/2\\ 0 \end{pmatrix}$=$\begin{pmatrix} \alpha\\ \beta\\ \gamma\\ \end{pmatrix}$ for some $\alpha$,$\beta$,$\gamma$ $\epsilon$ R. Then |$\alpha$| is equal to:

asked Oct 16, 2019 in Linear Algebra by Kushagra गुप्ता (175 points) | 31 views

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Gate 2007 - IN
$\\ A\ is\ n*n \ matrix \ such \ that \ A^2=I \ and B \ is \ n*1 \ real \ \\vector \ then \ Ax=B \ has \\ \\ a) no \ solution \\ b) unique \ solution\\ c) infinitely \ many \ solution\\ d) none$

answered Sep 23, 2019 in Linear Algebra by aditi19 (55 points) | 12 views

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Nullity of a matrix
Answer is given as 1. Please show the solution. Thank you.

answered Sep 23, 2019 in Linear Algebra by aditi19 (55 points) | 17 views

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Self doubt in matrices.
A hermitian matrix can be similar to a non hermitian matrix . (True or false)?

asked Sep 17, 2019 in Linear Algebra by Eleph knaught (7 points) | 15 views

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CSIR / UGC NET - Linear Algebra
Let A be a 3x3 real matrix. Suppose 1 and -1 are two of the three Eigen values of A and 18 is one of the Eigen values of $A^2 + 3A$. Then. a) Both A and $A^2 + 3A$ are invertible b) $A^2 + 3A$ is invertible but A is not c) A is invertible but $A^2 + 3A$ is not d) Both A and $A^2 + 3A$ are not invertible [closed]

asked Sep 11, 2019 in Linear Algebra by Kushagra गुप्ता (175 points) | 7 views

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Linear algebra by Fuzhen- Zhang
Find the value of $t$ for which the following matrix has rank $3$. $\begin{pmatrix} t & 1& 1& 1 \\ 1 & t & 1& 1 \\ 1 & 1 & t & 1 \\ 1 & 1 & 1 & t \end{pmatrix}$

asked Sep 7, 2019 in Linear Algebra by Eleph knaught (7 points) | 16 views

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2 answers

Please suggest how many nd wht topic to study in group theory for gate?

answered Aug 28, 2019 in Linear Algebra by Bikram (1.2k points) | 20 views

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Eigen Value of Symmetric Matrix vs Real Symmetric Matrix

asked Aug 19, 2019 in Linear Algebra by nadeshseen (43 points) | 10 views

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number of linearly independent eigen vectors
The number of linearly independent eigen vectors of $\begin{pmatrix} 2 & 1\\ 0 & 2 \end{pmatrix}$ The answer is 1. Please show the solution. Thank you.

answered Aug 11, 2019 in Linear Algebra by Satbir (4.1k points) | 14 views

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Group theory - order of non abelian
Let G be a non abelian group, order of G can be 24 44 54 34 Can someone explain ?

asked Aug 8, 2019 in Linear Algebra by user2525 (1.6k points) | 9 views

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#madeeasy testseries
Caption

asked Jul 20, 2019 in Linear Algebra by Pradeep Verma (10 points) | 10 views

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1 answer

ace test series self doubt
Are eigen vectors linearly dependent if we get the same eigen values??Please explain through an example

answered Jul 10, 2019 in Linear Algebra by Verma Ashish (386 points) | 18 views

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