MTH 114 Lecture Notes - Lecture 57: Solution Set, Hyperplane
Document Summary
Given u1 and u2 in r^3 is it possible that {u1,u2} spanr3. False the 3 means the must be at least 3 u"s so {u1,u2,u3} in r3 would span. If {u1,u2} are literally independent set of vectors in r2, then so is {u1,u2,u3,} false. If {u1,u2} are literally dependent set of vectors in r2, then so is {u1,u2,u3,} If {u1,u2,u3} are literally independent set of vectors in r3, then so is {u1,u2} If {u1,u2,u3} are literally dependent set of vectors in r3, then so is {u1,u2} False if a and b are n x n matrices ab=ba. If a and b are n x n matrices then (ab)^t =a^t x b^t. If a and b are n x n matrices then (ab)^t =b^t x a^t. Let a be n x n matrix if det(a) do not =0 then the columns of a.
