Consider following three sets: (i) set A has p vectors of the vector space V, and A= span{V}, (ii) set B has q linearly independent vectors of V, (iii) set C has r vectors of V, and C is the basis of V. Which of the following inequality is true? (Note: p, q, and r are distinct positive integers). (a) p

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Chapter2: Second-order Linear Odes
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Consider following three sets:
(i) set A has p vectors of the vector space V, and A= span{V},
(ii) set B has q linearly independent vectors of V,
(iii) set C has r vectors of V, and C is the basis of V.
Which of the following inequality is true? (Note: p, q, and r are
distinct positive integers).
(a) p<r<q
(b) r<p<q
(c) q<p<r
(d) q<r<p
(e) r<q<p
Od
O e
a
Ob
Transcribed Image Text:Consider following three sets: (i) set A has p vectors of the vector space V, and A= span{V}, (ii) set B has q linearly independent vectors of V, (iii) set C has r vectors of V, and C is the basis of V. Which of the following inequality is true? (Note: p, q, and r are distinct positive integers). (a) p<r<q (b) r<p<q (c) q<p<r (d) q<r<p (e) r<q<p Od O e a Ob
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