Derive the worst case upper bound of the following algorithm. Matrics_Multiplication (A, B) { I пxmmatrixА Iтxpmatrix В // n× p matrix C /I C=AB 1. Let C be a new matrix of the appropriate size 2. For i from 1 to n: 3. For j from 1 to p: 4. Let sum = 0 5. For k from 1 to m: Set sum – sum + Ajk × Bzj Set Cij – sum 6. 7. 8. Return C }

Computer Networking: A Top-Down Approach (7th Edition)
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ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
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Derive the worst case upper bound of the following algorithm.
Matrics_Multiplication (A, B)
{
I пхmmatrixА
// m × p matrix B
I пxрmatrixС
// C= AB
1.
Let C be a new matrix of the appropriate size
2.
For i from 1 to n:
For j from 1 to p:
3.
4.
Let sum = 0
For k from 1 to m:
5.
6.
Set sum - sum+A¡k × Brj
7.
Set Cij - sum
8.
Return C
}
Transcribed Image Text:Derive the worst case upper bound of the following algorithm. Matrics_Multiplication (A, B) { I пхmmatrixА // m × p matrix B I пxрmatrixС // C= AB 1. Let C be a new matrix of the appropriate size 2. For i from 1 to n: For j from 1 to p: 3. 4. Let sum = 0 For k from 1 to m: 5. 6. Set sum - sum+A¡k × Brj 7. Set Cij - sum 8. Return C }
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