We can define a one-to-one correspondence between the elements of Pn and Rn by p(x) = a1
Chapter 3, Problem 16(choose chapter or problem)
We can define a one-to-one correspondence between the elements of Pn and Rn by p(x) = a1 + a2x + +anxn1 (a1, . . . , an)T = a Show that if p a and q b, then (a) p a for any scalar . (b) p + q a + b. [In general, two vector spaces are said to be isomorphic if their elements can be put into a one-to-one correspondence that is preserved under scalar multiplication and addition as in (a) and (b).]
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