Engineering Mathematics-Linear Algebra [GATE (Graduate Aptitude Test in Engineering) Electronics]: Questions 1 - 8 of 20

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Question 1

Appeared in Year: 2010

Question MCQ▾

Given f (t) = L-1 . If , then the value of k is

Choices

Choice (4)Response

a.

3

b.

4

c.

1

d.

2

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Question 2

Appeared in Year: 2010

Question MCQ▾

The Eigen values of a skew-symmetric matrix are (One Mark)

Choices

Choice (4)Response

a.

Always pure imaginary

b.

Either zero or pure imaginary

c.

Always zero

d.

Always real

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Question 3

Appeared in Year: 2015

Question Numeric Answer▾

Consider a system of linear equations:

The value of k for which the system has infinitely many solutions is …

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Question 4

Appeared in Year: 2016

Question MCQ▾

Consider a square matrix

,

Where x is unknown. If the eigenvalues of the matrix A are and , then is equal to

Choices

Choice (4)Response

a.

b.

c.

d.

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Question 5

Appeared in Year: 2015

Question MCQ▾

For the determinant of is

Choices

Choice (4)Response

a.

0

b.

1

c.

d.

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Question 6

Appeared in Year: 2017

Question Numeric Answer▾

The rank of the matrix

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Question 7

Appeared in Year: 2019

Question Numeric Answer▾

The number of distinct Eigen values of the matrix A = is equal to ________. (Carry One Mark Each)

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Question 8

Appeared in Year: 2016

Question MCQ▾

Let (where I denote the identity matrix) and , , . Then for any natural number k, equals:

Choices

Choice (4)Response

a.

b.

c.

d.

Edit