Question: The algorithm A has a worst-case running time T(n) = 2^n + 1 1) Is T(n) = O(n^2)? Explain your answer. 2) Is T(n) =

The algorithm A has a worst-case running time T(n) = 2^n + 1 1) Is T(n) = O(n^2)? Explain your answer. 2) Is T(n) = O(2^n)? Explain your answer. Matrix transposition is an operation which flips a matrix over its diagonal, i.e. it switches the row and column indices of the matrix by producing another matrix denoted as A^T (see https: //en.wikipedia.org/wiki/Transpose) Consider the following parallel implementation of the matrix transposition operation: A is nxn matrix parfor i = 2 to n for j = 1 to i - 1 swap A_i, j and A_j, I What is the running time, work, span and parallelism of this algorithm? Explain your answer Design a parallel algorithm for the following problem: Input: array A Find: smallest element of n What is your algorithm's running time, work, span and parallelism? Explain your

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