Question

If the system of equation

2x + 5y + 8z = 0

x + 4y + 7z = 0

6x + 4y – lz = 0

has a non trivial solution then l is equal to –

• A. 12
• B. –2
• C. 0
• D. 5

Answer 1

Answer: (B)

–2

Answer 2

D = $\left| \begin{matrix} 2 & 5 & 8 \\ 1 & 4 & 7 \\ 6 & 4 & - \lambda \end{matrix} \right|$ = 0 Ž l = –2