The Gateway to Computer Science Excellence
0 votes
If every minor of order 'r' of a matrix 'A' is zero, then rank of 'A' is

a) greater than 'r'
b) equal to 'r'
c) less than or equal to 'r'
d) less than 'r'
in Linear Algebra by
retagged by | 1.3k views

2 Answers

+1 vote
d because there is no determinent of size greate than equal r to whose det is not zero
0 votes

Given an m × n matrix with real entries (or entries from any other field) and rank r, then there exists at least one non-zero r × r minor, while all larger minors are zero. Hence answer is option D.

Quick search syntax
tags tag:apple
author user:martin
title title:apple
content content:apple
exclude -tag:apple
force match +apple
views views:100
score score:10
answers answers:2
is accepted isaccepted:true
is closed isclosed:true
52,375 questions
60,554 answers
95,374 users