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Linear Algebra Notes
It is the examples and lecture notes of few of the applications of matrices used in linear algebra.
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CaSider the Set of veCt s beowV-(,2,l, ), V, (2,3,2,3), vs -(, ul,)
Va-(o,-3,l,- ), vs :(is,0)
a. vecs thal bons a basis
find a Subse o¢ the
basís as Qines Qombinaion
b. e r s s cCu echr not ih ue
of e basis vechrs
-1 -l-30
Qe 3 -3 11 3
3
- 3 o
2
--2
Ry=R1-2
3
2 2
- | -2
. ABasis Ror sRar .V,NyyN
is
:. Sbsect
of
Pant b vecrs
back
, b
Cs: 3C+(6)2
Clu ogial main
(-,
13V, +(-6),
mamM 4hen
|f A s an
An O
Soluou
1S tue nunber ee vamables in t e
eneral Solukn
o- l
-|
w
-2 IS
3
3 2
Pauk (A) = 3
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