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Mathematics
Mathematics
Problem
Verify that the matrices
A
=
(
1
2
3
7
)
A=\begin{pmatrix}1 & 2\\ 3 & 7\end{pmatrix}
A
=
(
1
3
2
7
)
and
B
=
(
7
−
2
−
3
1
)
B=\begin{pmatrix}7 & -2\\ -3 & 1\end{pmatrix}
B
=
(
7
−
3
−
2
1
)
are inverses of each other by direct multiplication. a. (i) Calculate
A
B
AB
A
B
. b. (ii) Calculate
B
A
BA
B
A
.
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