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please solve all parts its one question with several parts Exercise 5. Calculate the algebraic complexity cn of the following operations: (1) the sum of

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please solve all parts its one question with several parts

Exercise 5. Calculate the algebraic complexity cn of the following operations: (1) the sum of two n n matrices; (2) the scaling of an n n matrix by a real number; (3) the inner product of two vectors of size n; (4) the outer product of two vectors of size n; (5) averaging n (6) calculating exp(x) using a nave Taylor series of order n; (7) calculating exp(x) using a nested Taylor series of order n (8) backward substitution (hint: 1 + 2 + + n-n(n + 1)/2); (9) naive Gaussian elimination (hint: 12+22+.+n2-nn 1)(2n1)/6) Exercise 5. Calculate the algebraic complexity cn of the following operations: (1) the sum of two n n matrices; (2) the scaling of an n n matrix by a real number; (3) the inner product of two vectors of size n; (4) the outer product of two vectors of size n; (5) averaging n (6) calculating exp(x) using a nave Taylor series of order n; (7) calculating exp(x) using a nested Taylor series of order n (8) backward substitution (hint: 1 + 2 + + n-n(n + 1)/2); (9) naive Gaussian elimination (hint: 12+22+.+n2-nn 1)(2n1)/6)

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