JEE Main & Advanced
Mathematics
Determinants & Matrices
Question Bank
Types of matrices, Algebra of matrices
question_answer
The order of \[[x\,y\,z]\,\,\left[ \begin{matrix} a & h & g \\ h & b & f \\ g & f & c \\ \end{matrix} \right]\,\left[ \begin{align} & x \\ & y \\ & z \\ \end{align} \right]\] is [EAMCET 1994]
A)\[3\times 1\]
B)\[1\times 1\]
C)\[1\times 3\]
D)\[3\times 3\]
Correct Answer:
A
Solution :
Order will be\[(1\times 3)(3\times 3)(3\times 1)=(1\times 1)\].