Let PN denote the vector space of all real polynomials (of t) of degrees less than or equal to N, together with the zero
Posted: Fri Jul 08, 2022 5:37 am
Let PN denote the vector space of all real polynomials (of t) of degrees less than or equal to N, together with the zero polynomial. Define a map L : P² → P4 by L(p(t)) = t²p(t) + p(1). 1 2 Verify that L is a linear transformation. Find the matrix representing L under the standard bases 1, t, t² and 1, t, t², t³, t³, tª.