How to solve the following pseudo code?

Question

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Suppose A,B,C are mxm matrices.what does the following algorithm compute?(here A(i,j) denotes (i,j)^th entry of matrix A).

for i = 1 to m 
  for j = 1 to m 
     for k = 1 to m 
        C(i,j) = A(i,k)* B(k,j)+C(i,j)
     end 
  end 
end

What I have tried:

Tried every possible way but it seems hard to solve.

Posted 6-Jan-23 4:54am

Tulika Das 2023

Updated 6-Jan-23 22:34pm

CPallini

v2

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Comments

jeron1 6-Jan-23 11:27am

Perhaps you could post one of the 'every possible ways' that you have tried, then ask a specific question. Folks here will be more than willing to help.

3 solutions

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CPallini · Answer 1 · 2023-01-06T22:34:00

Solution 3

The code computes

C = C + AB

Posted 6-Jan-23 22:34pm

CPallini

Rick York · Answer 2 · 2023-01-06T07:58:00

Solution 2

You have answered your own question. The algorithm computes

C

C(i,j) += A(i,k)* B(k,j)

for every location in the matrix.

Posted 6-Jan-23 7:58am

Rick York

Comments

Shivam Siddharth 7-Jan-23 10:14am

what does k loop do? i and j are rows and columns

Rick York 7-Jan-23 11:55am

k is used as an index into the A and B matrices.

RedDk 7-Jan-23 14:10pm

Ahah! "A and B matrices" ... that's calling a spade a spade!

Richard MacCutchan · Answer 3 · 2023-01-06T06:21:00

Solution 1

See Matrices[^], for details of how to access elements of a matrix.

Posted 6-Jan-23 6:21am

Richard MacCutchan