Question

If the determinant

$\left| \begin{matrix} b - c & c - a & a - b \\ b´ - c´ & c´ - a´ & a´ - b´ \\ b´´ - c´´ & c´´ - a´´ & a´´ - b´´ \end{matrix} \right|$ = m$\left| \begin{matrix} a & b & c \\ a´ & b´ & c´ \\ a´´ & b´´ & c´´ \end{matrix} \right|$

then value of m is –

• A. 0
• B. 2
• C. –1
• D. 1

Answer 1

Answer: (A)

0

Answer 2

C₁ ® C₁ + C₂ + C₃

$\left| \begin{matrix} 0 & c - a & a - b \\ 0 & c´ - a´ & a´ - b´ \\ 0 & c´´ - a´´ & a´´ - b´´ \end{matrix} \right|$= m$\left| \begin{matrix} a & b & c \\ a´ & b´ & c´ \\ a´´ & b´ & c´´ \end{matrix} \right|$ Ž m = 0