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Mathematics
Problem
If
Δ
=
∣
a
b
c
x
y
z
p
q
r
∣
\Delta = \begin{vmatrix} a & b & c \\ x & y & z \\ p & q & r \end{vmatrix}
Δ
=
a
x
p
b
y
q
c
z
r
, then
∣
k
a
k
b
k
c
k
x
k
y
k
z
k
p
k
q
k
r
∣
=
\begin{vmatrix} ka & kb & kc \\ kx & ky & kz \\ kp & kq & kr \end{vmatrix} =
k
a
k
x
k
p
k
b
k
y
k
q
k
c
k
z
k
r
=
(a)
Δ
\Delta
Δ
(b)
k
Δ
k\Delta
k
Δ
(c)
3
k
Δ
3k\Delta
3
k
Δ
(d)
k
3
Δ
k^3\Delta
k
3
Δ
(a)
Δ
\Delta
Δ
(b)
k
Δ
k\Delta
k
Δ
(c)
3
k
Δ
3k\Delta
3
k
Δ
(d)
k
3
Δ
k^3\Delta
k
3
Δ
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