Question: PLEASE EXPLAIN THE ALGORITHM OR PSEUDOCODE AND HOW YOU ARRIVE AT O(nlog[n]) time. For an n that is a power of 2, the n x

 PLEASE EXPLAIN THE ALGORITHM OR PSEUDOCODE AND HOW YOU ARRIVE AT

PLEASE EXPLAIN THE ALGORITHM OR PSEUDOCODE AND HOW YOU ARRIVE AT O(nlog[n]) time.

For an n that is a power of 2, the n x n Weirdo matrix Wn is defined as follows. For n 1, W -[1]. For n> 1, Wn is defined inductively by n/2 n/2 where Ik denotes the k k identity matrix. For example, 1 0-1101 1 W2 1 -1 1 1 00 0 1 0 10 0 1 1 0 0 1 0 0 1-1 0 001 0 1 1 1 Give O(n log n)-time algorithm that computes the product Wn 7, where c is a vector of length n and n is a power of 2

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