Let B = {sin (4t), cos(4t)} be an ordered basis for a vector space V. Let...

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Let B = {sin (4t), cos(4t)} be an ordered basis for a vector space V. Let T: V→ V be defined by T(f(t)) = d dt -f(t), using the standard derivative operator. A) Write a matrix for this linear transform relative to the basis B. d B) Show how you could use the matrix to calculate (5 sin(4t) + 3 cos(4t)) dt Let B = {sin (4t), cos(4t)} be an ordered basis for a vector space V. Let T: V→ V be defined by T(f(t)) = d dt -f(t), using the standard derivative operator. A) Write a matrix for this linear transform relative to the basis B. d B) Show how you could use the matrix to calculate (5 sin(4t) + 3 cos(4t)) dt

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Part A The given basis is B bb where b sin4t and b cos4t Then since ... View the full answer