Matrices and Determinants (BITSAT Mathematics): Questions 1 - 7 of 14

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Question number: 1

» Matrices and Determinants » Types of Matrices

MCQ▾

Question

If A is symmetric and nN, then An 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 A=[aij]n×n is called a diagonal matrix if aij=0 for,

Choices

Choice (4) Response
a.

i<j

b.

i=j

c.

i>j

d.

ij

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 x1111x1111x1 =0 are –

Choices

Choice (4) Response
a.

1, 2

b.

1,2

c.

1, 2

d.

1,2

Question number: 5

» Matrices and Determinants » Algebra of Matrices

MCQ▾

Question

If for a matrix A,A2+I=0, where I is the identity matrix, then A equals

Choices

Choice (4) Response
a.

[1001]

b.

[i00i]

c.

[1211]

d.

[1001]

Question number: 6

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

MCQ▾

Question

The system of equation AX=B of n equations in n 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

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