1) The matrix A=[0.6 0.8;0.8 -0.6] represents reflection along the some line through the origin. Find the equation for the line.
2) Consider a linear transformation T, from a set of cubic polynomial P3 to a set of fourth-degree polynomials P4, that is a multiplication of (2+3t) to a cubic polynomial. Taking the basis {1, t, t^2, t^3} for P3 and {1, t, t^2, t^3, t^4}for P4, find a matrix A that represents the transformation T.
T(p)= (2+3t)*p, p는 P3포함된다
2) Consider a linear transformation T, from a set of cubic polynomial P3 to a set of fourth-degree polynomials P4, that is a multiplication of (2+3t) to a cubic polynomial. Taking the basis {1, t, t^2, t^3} for P3 and {1, t, t^2, t^3, t^4}for P4, find a matrix A that represents the transformation T.
T(p)= (2+3t)*p, p는 P3포함된다
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