Initialize C to be a matrix of size n x n whose entries are all 0
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Initialize C to be a matrix of size n x n whose entries are all 0

Question 7

Consider the following algorithm:

Input: Two matrices A and B both of size n x n

1. Initialize C to be a matrix of size n x n whose entries are all 0

2. For i from 1 to n:

3. For j from 1 to n:

4. If Ai, j ≠ Bi, j:

5. Ci, j = Ai, j x Bi, j

6. Output C

Determine the time function of this algorithm. To explain, state number of time units or iterations in each line.

Hint
MathematicsThe length of the input determines how long it takes an algorithm to run, which is known as temporal complexity. It calculates how long it takes for each algorithm's code statement to run. Let's use t to represent the time complexity of a statement or collection of statements, and let T(n) represent the total time as a function of the input size n. If each statement performs a fundament...

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