3. Let V = P3, the vector space of polynomials of degree at most 3. Let B = {1, t, t, t³} and C = {t³, t,t², 1} be bases for P3. If f(t) = (1+t)(t² + 4t + 1). Find [f(t)]s and [f(t)]c

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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3.
Let V = P3, the vector space of polynomials of degree at most 3. Let B
{1, t, t², t³} and C = {t³,t,t², 1} be bases for P3. If f(t) = (1+ t)(t² + 4t + 1). Find [f(t)]8
and [f(t)]c
Transcribed Image Text:3. Let V = P3, the vector space of polynomials of degree at most 3. Let B {1, t, t², t³} and C = {t³,t,t², 1} be bases for P3. If f(t) = (1+ t)(t² + 4t + 1). Find [f(t)]8 and [f(t)]c
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