Question

$\left| \begin{matrix} a + b & a + 2b & a + 3b \\ a + 2b & a + 3b & a + 4b \\ a + 4b & a + 5b & a + 6b \end{matrix} \right|$=

• A. a³+ b³ + c³
• B. 0
• C. a³ + b³ + c³ – 3abc
• D. None of these

Answer 1

Answer: (B)

0

Answer 2

C₂ ® C₂ – C₁ ; C₃ ® C₃ – C₁

$\Delta = \left| \begin{matrix} a + b & b & 2b \\ a + 2b & b & 2b \\ a + 4b & b & 2b \end{matrix} \right|$ = 0