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Write a MATLAB function called zgemm that computes the generalized matrix multiplication alphaAB + betaC using loops, where A, B, and C are matrices and alpha and beta are scalar values. The input order should be (alpha, A, B, beta, C). Check for proper dimensions on each input, report any error and return an empty matrix if they are incorrect. Do not use MATLAB's matrix multiply functions inside this function. Use alpha=0.1, A=[5 7;11 9;0 2], B=[1 2 3 4; 9 8 7 6], C=eye(n,m), beta=0.9 to test zgemm and compare to MATLAB matrix multiply (>>alpha*A*B+beta*C)
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