What is the geometric meaning of the transformation of R2 wh

What is the geometric meaning of the transformation of R2 when every vector is multiplied by -1? Is it a rotation?

Solution

(x,y) goes to (-x,-y) in this transformation

Hence, (x,y) is reflected in the origin.

This is also equivalent to aa rotation by 180 degrees which sends a point (x,y) to its reflection in the origin.

What is the geometric meaning of the transformation of R2 when every vector is multiplied by -1? Is it a rotation?Solution(x,y) goes to (-x,-y) in this transfor

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