2. Let P2(C) be a vector space of polynomials of degree less than or equal to 2 over R. (a) By using linear extension method, show that P2(C) is isomorphic to C³. (b) Let T : P2(C) → C³ be a...

2. Let P2(C) be a vector space of polynomials of degree less than or equal to 2<br>over R.<br>(a) By using linear extension method, show that P2(C) is isomorphic to<br>C³.<br>(b) Let T : P2(C) → C³ be a transformation such that<br>T(а+ ba + сa*) — (а, а + b,а +b+с).<br>Find the matrix representation T relative to the standard basis.<br>

Extracted text: 2. Let P2(C) be a vector space of polynomials of degree less than or equal to 2 over R. (a) By using linear extension method, show that P2(C) is isomorphic to C³. (b) Let T : P2(C) → C³ be a transformation such that T(а+ ba + сa*) — (а, а + b,а +b+с). Find the matrix representation T relative to the standard basis.

Jun 04, 2022

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2. Let P2(C) be a vector space of polynomials of degree less than or equal to 2 over R. (a) By using linear extension method, show that P2(C) is isomorphic to C³. (b) Let T : P2(C) → C³ be a...

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