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Which one of the following is equal to the above sum?

Mathematics20251 markMCQ
$2 \begin{vmatrix} x & y & z \\ p & q & r \\ a & b & c \end{vmatrix} + \begin{vmatrix} x & y & z \\ s & t & u \\ 2a & 2b & 2c \end{vmatrix}$ Which one of the following is equal to the above sum?
  • (a)$\begin{vmatrix} 3x & 3y & 3z \\ 2p+s & 2q+t & 2r+u \\ 4a & 4b & 4c \end{vmatrix}$
  • (b)$\begin{vmatrix} 2x & 2y & 2z \\ p+s & 2q+t & 2r+u \\ 2a & 2b & 2c \end{vmatrix}$
  • (c)$\begin{vmatrix} x & y & z \\ p+s & q+t & r+u \\ 2a & 2b & 2c \end{vmatrix}$
  • (d)$\begin{vmatrix} 2x & 2y & 2z \\ p+s & q+t & r+u \\ 4a & 4b & 4c \end{vmatrix}$

Answer

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Determinants

From ISC 2025 Improvement Mathematics Paper 1, question 1(xi).