Matrices and Determinants [BITSAT (Birla Institute of Technology & Science Admission Test) Mathematics]: Questions 1 - 8 of 26

Choose Programs:

🎯 527 MCQs (& PYQs) with Full Explanations (2024-2025 Exam)

Rs. 350.00 -OR-

3 Year Validity (Multiple Devices)

CoverageDetailsSample Explanation

Help me Choose & Register (Watch Video) Already Subscribed?

Question 1

Question MCQ▾

If is symmetric and then is –

Choices

Choice (4)Response

a.

Diagonal

b.

Skew – symmetric

c.

Symmetric

d.

Both a. and c. are correct

Edit

Question 2

Question MCQ▾

A square matrix is called a diagonal matrix if for,

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 3

Question MCQ▾

If inverse of a diagonal matrix is –

Choices

Choice (4)Response

a.

Skew – symmetric

b.

Symmetric

c.

Diagonal

d.

Question does not provide sufficient data or is vague

Edit

Question 4

Question MCQ▾

The roots of equation are –

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 5

Question MCQ▾

If for a matrix where is the identity matrix , then A equals

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 6

Question MCQ▾

The system of equation of equations in unknowns has a unique solution if

Choices

Choice (4)Response

a.

Det A ≠ 0

b.

Det A = 0, AdjAB = 0

c.

Det A = 0, AdjAB ≠ 0

d.

Det A ≠ 0, AdjAB = 0

Edit

Question 7

Question MCQ▾

The inverse of a symmetric matrix is –

Choices

Choice (4)Response

a.

Diagonal matrix

b.

Symmetric

c.

Skew – symmetric

d.

None of the above

Edit

Question 8

Question MCQ▾

If each element of a determinant of order with value is multiplied by , then the new determinant is

Choices

Choice (4)Response

a.

b.

c.

d.

None of the above

Edit