Any set containing the zero vector is linearly independent.
Math 116: Logical Statements. Statement: a group of words or symbols that can be classified as true or false Examples: Annapolis is the capitol of Maryland Calculus is a branch of mathematics 1+1=2 Non-statements: go away- command what are you eating - question Statement or not: Kale is green-statement What is your favorite color –not Negation: a statement that has opposite meaning of the original statement Examples: Statement: The earth spins on its axis Negation: The earth does not spin on its axis Statement: all lunches are free Negation: not all lunches are free Logical symbols: Connector Symbol and Or If-then negation Convert the following statement into a logical statement in words M: Mike is taking chemistry 101 R: Ryane is taking biology 105 1. MR- Mike is taking chemistry 101 or Ryane is taking biology 105 2. MR- Mike is not taking chemistry 101 and Ryane is not taking biology 105 Convert the following logical word statement into a logical statement in symbols 1. MR- Mike is not taking chemistry 101 or Ryane is taking biology 105 Conditional: P Q P: Hypothesis Q: Conclusion Q P: Converse P Q: Inverse Q P: Contraposition Examples: if it rains it pours Converse: if it pours it rains Inverse: If its bot raining then its