Matrices and Determinants-Evaluation of Determinants (KVPY Stream SB-SX (Class 12 & 1st Year BSC) Math): Questions 1 - 2 of 2

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Question number: 1

» 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: 2

» Matrices and Determinants » Evaluation of Determinants

Appeared in Year: 2015

MCQ▾

Question

The remainder when the determinant,

201420142015201520162016201720172018201820192019202020202021202120222022

is divided by 5 is –

Choices

Choice (4) Response

a.

1

b.

3

c.

4

d.

2

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