Linear Algebra [CSIR (Council of Scientific & Industrial Research) Mathematical Sciences]: Questions 1 - 6 of 367

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Question 1

Question MCQ▾

Let Then, dim v is

Choices

Choice (4)Response

a.

98

b.

97

c.

49

d.

99

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Question 2

Appeared in Year: 2011

Question MCQ▾

Let D be a non – zero Real matrix with which of the following implications is valid? (CSIR NET – JUNE)

Choices

Choice (4)Response

a.

implies rank

b.

implies rank

c.

rank (D) = 1 implies

d.

implies

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Question 3

Question MCQ▾

Let A be a matrix Then which of the following is correct? (Part B)

Choices

Choice (4)Response

a.

A is not diagnosable

b.

A is idempotent

c.

A is Nilpotent

d.

Minimal polynomial characteristic polynomial

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Question 4

Appeared in Year: 2013

Question MCQ▾

Let A be a invertible real matrix. Which of the following is not necessarily true? (December)

Choices

Choice (4)Response

a.

The rows of A form a basis of

b.

Null space of A contains only the 0 vector

c.

A has distinct eigen values

d.

Image of the linear transformation on

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Question 5

Appeared in Year: 2015

Question MCQ▾

Which of the following is a linear transformation from ?

Which of the following are correct? (June)

Choices

Choice (4)Response

a.

Only f

b.

Only g

c.

Only h

d.

All the transformations f, g and h

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Question 6

Question MCQ▾

The minimal polynomial of is

Choices

Choice (4)Response

a.

b.

c.

d.

Edit