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Consider the functions p1 : R rightarrow R. p2: R rightarrow R. p3: R rightarrow R. defined by Pi (x) = -1 + x - 2x2, p2(x) = 3 + 3x +6x2, p3(x) = 9, and the functions q1 : R rightarrow R,. q2 : R rightarrow R, q3 : R rightarrow R, defined by q1 (x) = l,q2(x) = x q3(x). Let B = {p1, p2, p3} and let W = span(B). Let B''= {q1, q2, q3}. Find the transition matrix P B rightarrow B' from B to B' Find the transition matrix P B' rightarrow B from B' to B If f(x) = 36x2 - 6x + 9 then find [f]B and [f]B'. Show transcribed image text Consider the functions p1 : R rightarrow R. p2: R rightarrow R. p3: R rightarrow R. defined by Pi (x) = -1 + x - 2x2, p2(x) = 3 + 3x +6x2, p3(x) = 9, and the functions q1 : R rightarrow R,. q2 : R rightarrow R, q3 : R rightarrow R, defined by q1 (x) = l,q2(x) = x q3(x). Let B = {p1, p2, p3} and let W = span(B). Let B''= {q1, q2, q3}. Find the transition matrix P B rightarrow B' from B to B' Find the transition matrix P B' rightarrow B from B' to B If f(x) = 36x2 - 6x + 9 then find [f]B and [f]B'.
Consider the functions p1 : R rightarrow R. p2: R rightarrow R. p3: R rightarrow R. defined by Pi (x) = -1 + x - 2x2, p2(x) = 3 + 3x +6x2, p3(x) = 9, and the functions q1 : R rightarrow R,. q2 : R rightarrow R, q3 : R rightarrow R, defined by q1 (x) = l,q2(x) = x q3(x). Let B = {p1, p2, p3} and let W = span(B). Let B''= {q1, q2, q3}. Find the transition matrix P B rightarrow B' from B to B' Find the transition matrix P B' rightarrow B from B' to B If f(x) = 36x2 - 6x + 9 then find [f]B and [f]B'.
Show transcribed image text Consider the functions p1 : R rightarrow R. p2: R rightarrow R. p3: R rightarrow R. defined by Pi (x) = -1 + x - 2x2, p2(x) = 3 + 3x +6x2, p3(x) = 9, and the functions q1 : R rightarrow R,. q2 : R rightarrow R, q3 : R rightarrow R, defined by q1 (x) = l,q2(x) = x q3(x). Let B = {p1, p2, p3} and let W = span(B). Let B''= {q1, q2, q3}. Find the transition matrix P B rightarrow B' from B to B' Find the transition matrix P B' rightarrow B from B' to B If f(x) = 36x2 - 6x + 9 then find [f]B and [f]B'.0
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