TRUE OR FALSE? There exists a 3 x 3 matrix A such that A2 = I3.

MATH 10B Lecture #10 Notes Ivan Lopez October 25 2016 End of Section 6.1: Line Integrals 3 De▯nition: A simple curve in the image (range) C of a map c : [a;b] ! R (or R ), which is 1-1 (one-to-one, which is to say that C(t ) =1 6 C(t 2 if t16= t2and does not have any self-intersections except possibly at endpoints). In addition, the curve is a simple closed curve if c(a) = c(b). Remark: A curve is called simple if it is both x-simply and y-simple. Let us now focus on how line integrals are independent of reparametrization. From the this image, we can make the following statements: We have a curve C, where we have c : [a