May 2024
Intermediate to advanced
687 pages
18h 35m
English
Content preview from Discrete Mathematical Structures by Pearson
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Author: Uma Shanker Gupta and ISBN: 978-93-325-2139-1
A-98 Solution Manual
⇒
−+ +=
++=
++=
=−+
(
)
abg
abg
abg
a
32
2
25
1
4
94931
a
b
c
abcThis gives
bb
g
=−+
(
)
=+−
(
)
abc
abc
53
1
8
11 5
which shows that given set of vectors span R
3
and hence from a basis of R
3
.
5. Let ab c
10
01
01
00
00
10
00
00
+
+
=
This gives
ab
ca
abc
=
⇒===
00
00
0
which shows that the given set of matrices is linearly independent.
6. The matrix associated with the subspace is
21 0
11 1
03 0
001
2
3
−
−
=
−
+−
a
b
c
ab
abc
b
c
The vectors are
2
1
0
0
1
1
3
0
0
1
0
1
−
−
,and
As these are linearly independent, they form ...
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