# Matrices

Algebra Level 4

$\large \begin{bmatrix} { x }_{ 1 } & { y }_{ 1 } & 1 \\ { x }_{ 2 } & { y }_{ 2 } & 1 \\ { x }_{ 3 } & { y }_{ 3 } & 1 \end{bmatrix}$

If the points $$(x_{1},y_{1})$$, $$(x_{2},y_{2})$$ and $$(x_{3},y_{3})$$ are collinear, then what is the maximum rank of the matrix above?

×