MATH 240 Midterm: MATH 240 NIU reals

• School: NIU
• Department: Mathematics
• Course: MATH 240
• Professor: All

Document Summary

This is a list of some of the properties of the set of real numbers that we need to work with vectors and matrices. Actually, we can work with matrices whose entries come from any set that satis es these properties, such as the set of all rational numbers or the set of all complex numbers. (i) closure. For all real numbers a, b, the sum a + b and the product a b are real numbers. (ii) associative laws. For all real numbers a, b, c, a + (b + c) = (a + b) + c and a (b c) = (a b) c . (iii) commutative laws. For all real numbers a, b, a + b = b + a and a b = b a . (iv) distributive laws.