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Mathematics
Mathematics
Problem
Let
A
=
(
1
3
5
2
4
6
λ
7
9
)
A = \begin{pmatrix} 1 & 3 & 5 \\ 2 & 4 & 6 \\ \lambda & 7 & 9 \end{pmatrix}
A
=
1
2
λ
3
4
7
5
6
9
. Answer the following: a. (i) Find
∣
A
∣
|A|
∣
A
∣
in terms of
λ
\lambda
λ
. b. (ii) Hence determine the value of
λ
\lambda
λ
for which
A
A
A
is singular.
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