a) i) Give an inductive formula for the sum of the first n odd numbers:1+3+ 5+ . + 2n -1ii) Prove, using the inductive proof method, the correctness of your inductive formulain i) above.b) The following program segment computes C = A * B, where A, B, C are matrices.for (long int i = 1; i<= r; i++)for (long intj = 1; j<= m; j**){long double S = 0;for (long int k = 1; k <= n; k++)S = S+ A[i, k] * B[k, ];Cli, ) = S;How many times does the code iterate in computingi) S?ii) The j* column of C, i.e. C[i,j] for a fixed i and j = 1,2, ,3, ..., m?iii) The complete matrix C?

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Answered: a) i) Give an inductive formula for the…

a) i) Give an inductive formula for the sum of the first n odd numbers: 1+3 + 5 + . + 2n -1 ii) Prove, using the inductive proof method, the correctness of your inductive formula in i) above.

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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