Matrices and Determinants (KVPY Stream SB-SX (Class 12 & 1st Year BSC) Math): Questions 1 - 4 of 5

Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 155 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. View Sample Explanation or View Features.

Rs. 150.00 or

Question number: 1

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

Appeared in Year: 2011

MCQ▾

Question

Let P be an m × m matrix such that P2 = P. Then (1 + P) n equals –

Choices

Choice (4) Response
a.

I+(2n1)P

b.

I+nP

c.

I+P

d.

I+2nP

Question number: 2

» Matrices and Determinants » Evaluation of Determinants

Appeared in Year: 2011

MCQ▾

Question

Let A and B be any two n × n matrices such that the following conditions hold: AB = BA and there exist positive integers k and l such that Ak=I (the identity matrix) and Bl=0 (the zero matrix). Then –

Choices

Choice (4) Response
a.

Det(A+B)0

b.

Det(AB)=0

c.

A+B=I

d.

(A+B)m=0 for some integer m

Question number: 3

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

Appeared in Year: 2010

MCQ▾

Question

Let A denote the matrix (0ii0) , where i2=1 , and let I denote the identity matrix (1001) . Then I+A+A2++A2010 is –

Choices

Choice (4) Response
a.

f has local minima at x = c, a and a local maximum at x = b

b.

f has local minima at x = a, b and a local maximum at x = c

c.

f has local minima at x = b, c and a local maximum at x = a

d. All of the above

Question number: 4

» Matrices and Determinants » Area of Triangles Using Determinants

Appeared in Year: 2011

MCQ▾

Question

Let A=(4, 0),B=(0, 12) be two points in the plane. The locus of a point C such that the area of triangle ABC is 18 sq. units is –

Choices

Choice (4) Response
a.

(y+3x12)2=81

b.

(y+3x81)2=14

c.

(y+3x+12)2=81

d.

(y+3x+81)2=12

Sign In