Matrices and Determinants-Types of Matrices [JEE (Based on NTA Guidelines-IIT Engg.) Mains Mathematics]: Questions 1 - 7 of 28

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Question 1

Question MCQ▾

Suppose are real numbers, with . If are in then

Choices

Choice (4)Response

a.

is singular (where )

b.

The system of equation , has infinite number of solutions

c.

is non singular

d.

Question does not provide sufficient data or is vague

Edit

Question 2

Question MCQ▾

In which of the following type of matrix inverse does not exist always?

Choices

Choice (4)Response

a.

Idempotent

b.

Orthogonal

c.

Involuntary

d.

Question does not provide sufficient data or is vague

Edit

Question 3

Question MCQ▾

If P is an orthogonal matrix and A is a periodic matrix with period 4 and , then P will be equal to

Choices

Choice (4)Response

a.

A

b.

c.

d.

Edit

Question 4

Question MCQ▾

Which of the following statements is correct?

Choices

Choice (4)Response

a.

is symmetric if A is symmetric

b.

is skew symmetric if A is symmetric

c.

is symmetric if A is skew symmetric

d.

All of the above

Edit

Question 5

Question MCQ▾

If then skew symmetrical part of A is

Choices

Choice (4)Response

a.

b.

c.

d.

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Question 6

Question MCQ▾

If A and B are symmetric and commute, then which of the following are symmetric?

Choices

Choice (4)Response

a.

b.

c.

d.

None of the above

Edit

Question 7

Question MCQ▾

If A is a square matrix of order such that and I is a unit matrix of order , then is equal to

Choices

Choice (4)Response

a.

b.

c.

d.

Edit