Let T : P3 → R° be defined by За — b + с+2d -a + b+ 3c Let u = x³ + 2a² , B = {1, x, x² , a³ }, and T(аг* + ba? + сӕ + d) - La+ 36 + 2с — 2d C = -1 1 2 -2 Given [T -4 use the Fundamental Theorem of Matrix Representations to find -1 -2 Pe(T(u)). Ex: 5 Pc(T(u)) = 2. 2.
Hi,
I'm sending my question and also uploaded a solution to a previous question to help resolve the one I can't. The previous question had different values for the one I am trying to find right now. I will write the values of the previous question here so you can solve my question in the first uploaded image.
The solution image uploaded was the answer key for these numbers, when,
T= [ 2a - 2c + 3d ; 3a + 2b -2c +d ; -2a -3b +2c -d ]
and,
T | c b = [ 2 0 -2 3 ; 1 2 0 -2 ; -5 -5 4 -2 ]
I hope this helps solve the question I sent. I am having trouble calculating it. I have sent it to other tutors and they could not solve it either. That's why I am sending it together with a random solution, to see if that helps. Thank you.
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