1

GATE CSE 2024 Set 2

MCQ (More than One Correct Answer)

+2

-0.66

Let A be an n × n matrix over the set of all real numbers ℝ. Let B be a matrix obtained from A by swapping two rows. Which of the following statements is/are TRUE?

2

GATE CSE 2024 Set 1

MCQ (More than One Correct Answer)

+2

-0.66

Let *A* be any *n x m* matrix, where *m > n*. Which of the following statements is/are TRUE about the system of linear equations *Ax = 0*?

3

GATE CSE 2021 Set 1

Numerical

+2

-0.67

Consider the following matrix.

$$\left( {\begin{array}{*{20}{c}} 0&1&1&1\\ 1&0&1&1\\ 1&1&0&1\\ 1&1&1&0 \end{array}} \right)$$

The largest eigenvalue of the above matrix is ______

Your input ____

4

GATE CSE 2020

MCQ (Single Correct Answer)

+2

-0.67

Let A and B be two n$$ \times $$n matrices over real numbers. Let rank(M) and det(M) denote the rank and determinant of a matrix M, respectively. Consider the following statements,

I. rank(AB) = rank(A) rank(B)

II. det(AB) = det(A) det(B)

III. rank(A + B) $$ \le $$ rank(A) + rank(B)

IV. det(A + B) $$ \le $$ det(A) + det(B)

Which of the above statements are TRUE?

I. rank(AB) = rank(A) rank(B)

II. det(AB) = det(A) det(B)

III. rank(A + B) $$ \le $$ rank(A) + rank(B)

IV. det(A + B) $$ \le $$ det(A) + det(B)

Which of the above statements are TRUE?

Questions Asked from Linear Algebra (Marks 2)

Number in Brackets after Paper Indicates No. of Questions

GATE CSE 2024 Set 2 (1)
GATE CSE 2024 Set 1 (1)
GATE CSE 2021 Set 1 (1)
GATE CSE 2020 (1)
GATE CSE 2018 (2)
GATE CSE 2017 Set 2 (1)
GATE CSE 2017 Set 1 (1)
GATE CSE 2016 Set 2 (2)
GATE CSE 2016 Set 1 (1)
GATE CSE 2015 Set 3 (1)
GATE CSE 2015 Set 2 (1)
GATE CSE 2015 Set 1 (3)
GATE CSE 2014 Set 2 (1)
GATE CSE 2011 (3)
GATE CSE 2010 (1)
GATE CSE 2008 (2)
GATE CSE 2007 (1)
GATE CSE 2006 (2)
GATE CSE 2005 (3)
GATE CSE 2004 (4)
GATE CSE 2003 (1)
GATE CSE 2002 (1)
GATE CSE 1998 (2)
GATE CSE 1997 (1)
GATE CSE 1996 (1)
GATE CSE 1994 (2)
GATE CSE 1987 (2)

GATE CSE Subjects

Theory of Computation

Operating Systems

Algorithms

Database Management System

Data Structures

Computer Networks

Software Engineering

Compiler Design

Web Technologies

General Aptitude

Discrete Mathematics

Programming Languages