Matrices and Determinants-Evaluation of Determinants (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SB-SX (Class 12 & 1st Year B.Sc.) 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 Equation (the identity matrix) and Equation (the zero matrix). Then –

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation for some integer m

Question number: 2

» Matrices and Determinants » Evaluation of Determinants

Appeared in Year: 2015

MCQ▾

Question

The remainder when the determinant,

Equation

is divided by Equation is –

Choices

Choice (4) Response

a.

1

b.

3

c.

4

d.

2

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