First slide

Algebra of complex numbers

Question

If $Δ = |\begin{array}{ccc} 6 i & - 3 i & 1 \\ 4 & 3 i & - 1 \\ 20 & 3 & i \end{array}| = x + i y$ , then

Moderate

A

x = 3, y = 1
B

x = 1, y = 3
C

x = 0, y = 3
D

x = 0, y = 0

Solution

Use $C_{2} \to C_{2} + 3 i C_{3}$ , given determinant = 0+0i= x+ i y $\Rightarrow x = 0, y = 0$

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