For each of the matrices in Exercises 1 through 6, find an orthonormal eigenbasis. Do not use technology.

Math 116: Egyptian numbers Examples of number systems- Egyptian Attic/Greek Mayan Traditional/Chinese Babylonian Hindu/ Arabic Egyptians used hieroglyphics to represent the corresponding number values: (the frog for 100,000 can also be substituted as a fish) examples: Base Systems: - In the US we use the base 10 system: this means we have digits from 0-9 System Base Digits Place values Binary 2 0,1 1,2,4,8,16,32 Quintary 5 0,1,2,3,4,5 1,5,25,125,625 Octal 8 0,1,2,3,4,5,6,7,8 1,8,64,512,4096 Ten 10 0,1,2,3,4,5,6,7,8, 1,10,1000