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Create a box-grid with 10 rows and 9 columns (eg. using google Sheets) and, starting from the upper right corner, number the boxes consectively by stepping diagonally (down and to the right) and wrapping around to the opposite side of the grid whenever you reach a side. Then strike out the boxes containing numbers which are not relatively prime to 10 or to 9. Check that the boxes that remain can be regrouped into a @ (10)xp (9) rectangular grid where p (n) is the Euler totient function of n. Explain why this shows that p is multiplicative in the 10x9 case.

Create a box-grid with 10 rows and 9 columns (eg. using google Sheets) and, starting from the upper right corner, number the boxes consectively by stepping diagonally (down and to the right) and wrapping around to the opposite side of the grid whenever you reach a side. Then strike out the boxes containing numbers which are not relatively prime to 10 or to 9. Check that the boxes that remain can be regrouped into a @ (10)xp (9) rectangular grid where p (n) is the Euler totient function of n. Explain why this shows that p is multiplicative in the 10x9 case.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Can you please show me how to work on this using google sheets? 

Create a box-grid with 10 rows and 9 columns (eg. using google Sheets) and, starting from the upper right corner, number the boxes consectively by stepping diagonally (down and to the right) and wrapping around to the opposite side of the grid whenever you reach a side. Then strike out the boxes containing numbers which are not relatively prime to 10 or to 9. Check that the boxes that remain can be regrouped into a (10)xp (9) rectangular grid where p (n) is the Euler totient function of n. Explain why this shows that p is multiplicative in the 10x9 case.
Transcribed Image Text:Create a box-grid with 10 rows and 9 columns (eg. using google Sheets) and, starting from the upper right corner, number the boxes consectively by stepping diagonally (down and to the right) and wrapping around to the opposite side of the grid whenever you reach a side. Then strike out the boxes containing numbers which are not relatively prime to 10 or to 9. Check that the boxes that remain can be regrouped into a (10)xp (9) rectangular grid where p (n) is the Euler totient function of n. Explain why this shows that p is multiplicative in the 10x9 case.
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