Matrices and Determinants (BITSAT Mathematics): Questions 1 - 8 of 24

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Question number: 1

» Matrices and Determinants » Types of Matrices

MCQ▾

Question

If is symmetric and then is –

Choices

Choice (4) Response

a.

Skew – symmetric

b.

Symmetric

c.

Diagonal

d.

Both b. and c. are correct

Question number: 2

» Matrices and Determinants » Types of Matrices

MCQ▾

Question

A square matrix is called a diagonal matrix if for,

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 3

» Matrices and Determinants » Types of Matrices

MCQ▾

Question

If inverse of a diagonal matrix is –

Choices

Choice (4) Response

a.

Diagonal

b.

Symmetric

c.

Skew – symmetric

d.

None of the above

Question number: 4

» Matrices and Determinants » Determinants and Matrices of Order Two and Three

MCQ▾

Question

The roots of equation are –

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 5

» Matrices and Determinants » Algebra of Matrices

MCQ▾

Question

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

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 6

» Matrices and Determinants » Solution of Simultaneous Linear Equations in Two or Three Variables

MCQ▾

Question

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

Choices

Choice (4) Response

a.

Det A≠0, AdjAB = 0

b.

Det A = 0, AdjAB = 0

c.

Det A = 0, AdjAB≠0

d.

Det A≠0

Question number: 7

» Matrices and Determinants » Adjoint and Evaluation of Inverse of Square Matrix

MCQ▾

Question

The inverse of a symmetric matrix is –

Choices

Choice (4) Response

a.

Skew – symmetric

b.

Symmetric

c.

Diagonal matrix

d.

Question does not provide sufficient data or is vague

Question number: 8

» Matrices and Determinants » Properties and Operations of Determinants

MCQ▾

Question

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

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