Let denote the vector space of polynomials in the variable of degree or less with real coefficients. Let be defined by for all polynomials . Is a linear transformation?
Let and be any two polynomials in and .
. (Enter as , etc.)
.
Does for all ?
choose
Yes, they are equal
No, they are not equal
.
.
Does for all and all ?
choose
Yes, they are equal
No, they are not equal
Is a linear transformation?
choose
f is a linear transformation
f is not a linear transformation
In order to get credit for this problem all answers must be correct.