MATH 18 Lecture 7: math18_lecture16
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Today is the 72 anniversary of ve day ( may 8,19451. My math lab problem set due at 23:59 today. Definition : a set of vectors space . said to be a basis of if : { v. , space . a vector in. V is space said to be a basis of if : (1) { v. , space . said to be a basis of if : a vector in. vn } is a linearly independent set (2) span { v. , The dimension independent set of v is it contains . the size of the largest linearly. Then and write we that v is an say dim v=h . n - dimensional vector space , If infinite - dimensional no vector n exists space , we say and write that v is an dimv=x . It should be true that dim r " n and dim r =x .