Read the Consumer Connection about Universal Product Codes and answer these questions.
a. Write a 12 1 matrix that can be multiplied on the left by a UPC to find the sum of each digit in an even position and 3 times each digit in an odd position.
b. Use the matrix from 13a to check the following four UPCs. Which one(s) are valid?

c. For the invalid UPC(s), what should the check digit have been so that it is a valid code?

Transcribed Image Text:

0 3 6 2 0 0 0 0 4 0 0 5 0 7 6 1 0 7 0 2 2 3 3 6 0 7 4 2 2 0 0 0 2 9 1 8