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Section 1.4  1(d)
2
A
=
−
8
4
6
0
10
−
2
12
2
−
4
.
4
B
=
24
−
4
0
8
8
−
16
12
−
4
4
2
A
−
4
B
=
−
32
8
6
−
8
2
14
0
6
−
8
.
Section 1.4  1(k)
4
D
=
[
−
28
4
−
16
12
−
8
32
.
]
2
F
T
=
[
16
4
10
−
2
0
−
6
]
4
D
+ 2
F
T
=
[
−
12
8
−
6
10
−
8
26
]
Section 1.4  3(b)
A
=
1
0
−
4
3
3
−
1
4
−
1
0
A
T
=
1
3
4
0
3
−
1
−
4
−
1
0
The following matrix is symmetric:
1
2
(
A
+
A
T
) =
1
3
/
2
0
3
/
2
3
−
1
0
−
1
0
The following matrix is skew symmetric:
1
2
(
A
−
A
T
) =
0
−
3
/
2
−
4
3
/
2
0
0
4
0
0
And
A
=
1
2
(
A
+
A
T
) +
1
2
(
A
−
A
T
)
Section 1.4  6(a)
: The
(
i, j
)
th entry of
A
+
B
is
a
ij
+
b
ij
. If
i
̸
=
j
the
a
ij
= 0
and
b
ij
= 0
since
A
and
B
are diagonal. Therefore, for
i
̸
=
j
, the
(
i, j
)
th entry of
A
+
B
is
0
and
A
+
B
is diagonal.
1
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 Spring '08
 HIETMANN

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