Get solution: In Exercises 48 through 53, let V be the space spanned by the two

Chapter 4, Problem 53

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In Exercises 48 through 53, let V be the space spanned by the two functions cos it) and sin it). In each exercise, find the matrix of the given transformation T with respect to the basis cos(t), sin(0, and determine whether T is an isomorphism.r (/(/)) where 6* is an arbitrary real number. (Hint: Use the addition theorems for sine and cosine.)

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