Find a basis for the vector space P3 composed of eigenvectors of the linear transformation T. Then
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T: P3 → P3,
T(a + bx + cx2 + dx3) = (a + c + d) + (b + c + d)x + (a + b + c)x2 + (a + b + d)x3
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With the domain and codomain being identical we will build a matrix representation using the same b...View the full answer
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