3. consider the transformation, t: p1 p2 defined by tax +b) = ax^2 + ax +a (a) show that t is a linear transformation. (b) find the image of 2.0 +1. (c) find another element of p, that has the same image. (d) is t a one-to-one transformation? why or why not? (e) find ker(t) and determine the basis for ker(t). what is the dimension of kernel(t)? (f) find range(t) and determine a basis for range(t). what is the dimension of range(t)?

Which of the following statements is true? a. the irrational number system is not closed under multiplication, because the product of two irrational numbers is always a rational number. b. the irrational number system is not closed under multiplication, because the product of two irrational numbers is not always an irrational number. c. the irrational number system is closed under multiplication, because the product of two irrational numbers is always an irrational number. d. the irrational number system is closed under multiplication, because the product of two irrational numbers is always a rational numbers. reset submit