Matrices and Determinants-Operations on Matrices Determinant of a Matrix [NDA (National Defense Academy) Mathematics]: Questions 1 - 11 of 69

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Question 1

Question MCQ▾

If then

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 2

Question MCQ▾

The value of the determinant

Choices

Choice (4)Response

a.

2

b.

1

c.

3

d.

0

Edit

Question 3

Question MCQ▾

If A is square matrix of order and entries of A are positive integers. Then is

Choices

Choice (4)Response

a.

Different from zero

b.

0

c.

Positive

d.

An arbitrary integer

Edit

Question 4

Question MCQ▾

If A is non-singular matrix satisfying then which one of the following holds true?

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 5

Question MCQ▾

If A is a square matrix of order m such that then the value of m can be

Choices

Choice (4)Response

a.

3

b.

4

c.

5

d.

7

Edit

Question 6

Question MCQ▾

Let then the value of is

Choices

Choice (4)Response

a.

b.

0

c.

1

d.

Edit

Question 7

Question MCQ▾

Matrix , if then is equal to

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 8

Question MCQ▾

If then z is

Choices

Choice (4)Response

a.

Purely Real

b.

where

c.

where

d.

Purely Imaginary

Edit

Question 9

Question MCQ▾

If then

Choices

Choice (4)Response

a.

1

b.

c.

2

d.

0

Edit

Question 10

Question MCQ▾

The number of distinct real roots of

In the interval is

Choices

Choice (4)Response

a.

0

b.

2

c.

1

d.

3

Edit

Question 11

Question MCQ▾

If P, Q and R represent the angles of an acute angled triangle , no two of them being equal, then the value of

Choices

Choice (4)Response

a.

Negative

b.

Cannot be determined

c.

0

d.

Positive

Edit