Solution-Let t : p2 ? p2 be the linear transformation

Let t : p2 ? p2 be the linear transformation defined

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Reference no: EM13710189

Let T : P2 → P2 be the linear transformation defined by

T(a + bx + cx2) = 3a - cx2:

Let f = f(x) = 1 + x.

(a) Assuming that P2 has the inner product defined as

?a + bx + cx2; d + ex + fx2? = ad + be + cf;

find all vectors q = q(x) ∈ P2 such that

?f; q? = ?T(f); T(q)?:

(b) Assuming that P2 has the inner product defined as

?f(x); g(x)? = f(-1)g(-1) + f(0)g(0) + f(1)g(1);

find all vectors q = q(x) ∈ P2 such that

?f; q? = ?T(f); T(q)?:

Reference no: EM13710189

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Let t : p2 ? p2 be the linear transformation defined

Reference no: EM13710189

Reference no: EM13710189

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