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Mathematics
Mathematics
Problem
If
A
=
[
1
2
−
3
5
0
2
1
−
1
1
]
A = \begin{bmatrix} 1 & 2 & -3 \\ 5 & 0 & 2 \\ 1 & -1 & 1 \end{bmatrix}
A
=
1
5
1
2
0
−
1
−
3
2
1
,
B
=
[
3
−
1
2
4
2
5
2
0
3
]
B = \begin{bmatrix} 3 & -1 & 2 \\ 4 & 2 & 5 \\ 2 & 0 & 3 \end{bmatrix}
B
=
3
4
2
−
1
2
0
2
5
3
and
C
=
[
4
1
2
0
3
2
1
−
2
3
]
C = \begin{bmatrix} 4 & 1 & 2 \\ 0 & 3 & 2 \\ 1 & -2 & 3 \end{bmatrix}
C
=
4
0
1
1
3
−
2
2
2
3
then compute
(
A
+
B
)
(A + B)
(
A
+
B
)
and
(
B
−
C
)
(B - C)
(
B
−
C
)
. Also verify
A
+
(
B
−
C
)
=
(
A
+
B
)
−
C
A + (B - C) = (A + B) - C
A
+
(
B
−
C
)
=
(
A
+
B
)
−
C
.
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