b)V is the vector space of ordered pairs of real numbers. W is the vector space of real numbers. L ( (x,y ) ) = ax+by where a and b are

__fixed __real numbers

So L((x,y)+ (u,v))= L(x+u, y+ v)= a(x+u)+ b(y+ v). Is that the same as L(x,y)+ L(u,v)= ax+ by+ au+ bv?

Is L(t(x,y))= L(tx,ty)= atx+ bty the same as tL(x,y)= t(ax+ by)?

c) V is the vector space of 2X2 matrices with real entries and W is the vector space of real numbers.

where L(matrix) = determinant of the matrix (i could not draw the matrix on this form)