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Unanswered Previous GATE Questions in Engineering Mathematics

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1

GATE CSE 2024 | Set 2 | Question: 37
Let $A$ be an $n \times n$ matrix over the set of all real numbers $\mathbb{R}$. Let $B$ be a matrix obtained from $A$ by swapping two rows. Which of the following statements is/are TRUE? The determinant of $B$ is the negative of the ... If $A$ is symmetric, then $B$ is also symmetric If the trace of $A$ is zero, then the trace of $B$ is also zero

Arjun asked in Linear Algebra Feb 16

by Arjun

1.8k views

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2

GATE CSE 1988 | Question: 16ii-iii
If $x \| \underline{x} \| \infty = 1< i^{max} < n \: \: max \: \: ( \mid x1 \mid ) $ for the vector $\underline{x} = (x1, x2 \dots x_n)$ ... known property of this norm. Although this norm is very easy to calculate for any matrix, explain why the condition number is difficult (i.e. expensive) to calculate.

go_editor asked in Linear Algebra Dec 20, 2016

735 views

1 vote

0 answers

3

GATE CSE 1988 | Question: 13ib
Verify whether the following mapping is a homomorphism. If so, determine its kernel. $\overline{G}=G$

go_editor asked in Graph Theory Dec 20, 2016

485 views

1 vote

0 answers

4

GATE CSE 1988 | Question: 13ia
Verify whether the following mapping is a homomorphism. If so, determine its kernel. $G$ is the group of non zero real numbers under multiplication.

go_editor asked in Set Theory & Algebra Dec 20, 2016

444 views

0 votes

0 answers

5

GATE CSE 1988 | Question: 2iv
Give one property of the field of real numbers which no longer holds when we compute using finite-precision floating point numbers.

go_editor asked in Set Theory & Algebra Dec 11, 2016

482 views

3 votes

0 answers

6

GATE CSE 1994 | Question: 16
Every element $a$ of some ring $(R, +, o)$ satisfies the equation $a\;o\;a=a$. Decide whether or not the ring is commutative.

Kathleen asked in Set Theory & Algebra Oct 5, 2014

542 views

0 votes

0 answers

7

GATE CSE 1993 | Question: 02.8
Given $\vec v= x\cos ^2y \hat i + x^2e^z\hat j+ z\sin^2y\hat k$ and $S$ the surface of a unit cube with one corner at the origin and edges parallel to the coordinate axes, the value of integral $\int^1 \int_s \vec V. \hat n dS$ is __________.

Kathleen asked in Calculus Sep 13, 2014

958 views

1 vote

0 answers

8

GATE CSE 1993 | Question: 02.2
The radius of convergence of the power series$\sum_{}^{\infty} \frac{(3m)!}{(m!)^3}x^{3m}$ is: _____________

Kathleen asked in Calculus Sep 13, 2014

1.2k views

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Unanswered Previous GATE Questions in Engineering Mathematics