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Mathematics
Mathematics
Problem
a. (a) Find the inverse of the matrix
C
=
(
k
2
1
k
)
C=\begin{pmatrix} k & 2 \\ 1 & k \end{pmatrix}
C
=
(
k
1
2
k
)
, given that
k
2
−
2
≠
0
k^2-2\neq0
k
2
−
2
=
0
. Express your answer in terms of
k
k
k
. b. (b) Verify your answer by showing that
C
C
−
1
=
I
2
CC^{-1}=I_2
C
C
−
1
=
I
2
.
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