1. True or False (you need not say why): (1) Y V = span (S), then 5 is a basis (2) Elementary new operations may alter the column Space for V (5) If dim V=n, then ony are linearly dependent. T TF (3) A vector space "must have a unique basis (4) For Amon, we have lonk (A)

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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1. True or False (you need not say why):
(1) I V = span (S), then S is a basis
12) Elementary
new operations may alter the
column Space
for v
(5) If dim V=n, then
ony
are linearly dependent.
T
TF
(3) A vector space "must have a unique basis
(4) For Amon, we have lonk (A) <m and ronk(A) S
те
F
TF
n+l Vectors in V TF
Transcribed Image Text:1. True or False (you need not say why): (1) I V = span (S), then S is a basis 12) Elementary new operations may alter the column Space for v (5) If dim V=n, then ony are linearly dependent. T TF (3) A vector space "must have a unique basis (4) For Amon, we have lonk (A) <m and ronk(A) S те F TF n+l Vectors in V TF
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