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LINEAR ALGEBRA EXAM 1 QUESTIONS AND CORRECT ANSWERS GRADED A+ LATEST 2025 / 2026 EXAM GUIDE
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if x=y, then x+a=y+a addition property of equality if x=y, then ax=ay multiplication property of equality a=a reflexive property of equality if 4=x, then x= symmetric property of equality if a=b, and b=c, then a=c transitive property of equality
3 steps to solving a mathematical sentence. 1 simplify each side 2 move 'x' to one side 3 move everything away from 'x' another name for multiplicative inverse reciprocal another name for additive inverse opposite multiplicative identity element 1 additive identity element 0 the number under the square root symbol √5←(the number 5 is what?) radicand
a(1)=a identity property of multiplication a+⁻a= inverse property of addition a(1/a)= inverse property of multiplication if a,b ∈ all real numbers, then a+b ∈ all real numbers closure property of addition if a,b ∈ all real numbers, then ab ∈ all real numbers closure property of multiplication a number set with 2 operations that follow 11 field properties field
null set ∩ intersection ∪ union sets that are not connected; having nothing in common (ex. A∩B=∅) disjoint relationship between 2 sets relations relationship between 2 sets BUT each input can have only 1 output exactly function distance from 0
