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Mathematics
Mathematics
Problem
If
A
=
[
2
−
1
−
1
2
]
A = \begin{bmatrix} 2 & -1 \\ -1 & 2 \end{bmatrix}
A
=
[
2
−
1
−
1
2
]
and
B
=
[
1
4
−
1
1
]
B = \begin{bmatrix} 1 & 4 \\ -1 & 1 \end{bmatrix}
B
=
[
1
−
1
4
1
]
then prove that
(
A
−
B
)
2
≠
A
2
−
2
A
B
+
B
2
(A - B)^2 \neq A^2 - 2AB + B^2
(
A
−
B
)
2
=
A
2
−
2
A
B
+
B
2
.
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