[p(-1)] p(0) Define the linear transformation T : P3 R³ by T(p) Let B = {1,2 – t,3 – t2,5 – t3} and %3D C = Then B is a basis of P3 and C is a basis of R³. Find the matrix ofT relative to B and C. For...

[p(-1)]<br>p(0)<br>Define the linear transformation T : P3<br>R³ by T(p)<br>Let B =<br>{1,2 – t,3 – t2,5 – t3} and<br>%3D<br>C =<br>Then B is a basis of P3 and C is a basis of R³. Find the matrix ofT relative to B and C.<br>For the linear transformation T as in the previous exercise, determine if T is (a) one-to-one and (b) onto.<br>

Extracted text: [p(-1)] p(0) Define the linear transformation T : P3 R³ by T(p) Let B = {1,2 – t,3 – t2,5 – t3} and %3D C = Then B is a basis of P3 and C is a basis of R³. Find the matrix ofT relative to B and C. For the linear transformation T as in the previous exercise, determine if T is (a) one-to-one and (b) onto.

Jun 03, 2022

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[p(-1)] p(0) Define the linear transformation T : P3 R³ by T(p) Let B = {1,2 – t,3 – t2,5 – t3} and %3D C = Then B is a basis of P3 and C is a basis of R³. Find the matrix ofT relative to B and C. For...

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