Let PN denote the vector space of all real polynomials (of t) of degrees less than or equal to N, together with the zero

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Let Pn Denote The Vector Space Of All Real Polynomials Of T Of Degrees Less Than Or Equal To N Together With The Zero 1 (143.62 KiB) Viewed 35 times

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.