Can someone solve 7.3 a-e 7.3 For each subproblem, we give a naive but correct a
ID: 3601644 • Letter: C
Question
Can someone solve 7.3 a-e
7.3 For each subproblem, we give a naive but correct algorithm, in MATLAB notation. Derive the complexity, assuming that matrix inverses and solutions of linear equations are computed using the LU factorization. Use the values f = (2/3)23, s = 2n2 for the flop counts of the factorization and solve steps (for a set of n linear equations in n variables). Assume the cost of computing the inverse of an n × n matrix is f + ns = (8/3)n3 flops If possible, give a more efficient method. You do not have to provide any MATLAB code, as long as the description of your method is clear. If you know several methods, give the most efficient one. (a) A ER"xn, and be Rn are given. The matrix A is nonsingular val - c' *(inv(A) b) (b) Calculate cTA-B where ceR", A ER"*n, and BER"Xm are given. The matrix A is nonsingular val c, * (inv (A) * B) (c) Solve the set of equations where A E Rnn, B E Rnxn, b e R", and cE R" are given, and 0 is the zero matrix of dimension n × n. The matrices A and B are nonsingular x [A zeros (n , n); zeros (n ,n) B ] [b; c] 23Explanation / Answer
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