MATA23H3 Study Guide - Final Guide: Elementary Matrix, Invertible Matrix, Symmetric Matrix
Document Summary
Mata23: linear algebra final review: vectors (1) formulas. Parallel vectors: none zero vectors v and w are parallel, if wv r . , for some real number r , or say cos wv wv. ,,v k in nr and given the scalars rr. R , the vector y defined by y r v. 2 in nr , then the set of all linear combination of vv. Triangle inequality: wv v w: matrix and linear system. Type of solutions: (1) no solution: left hand side = 0, while right hand side to 0 (2) only one solution: left hand side 0, right hand side = r. Interchange rows i and j interchange row j and i (3) infinitely many solutions: left hand side = 0, right hand side = 0 or, choose variable into any replaceable new variable. Add c times row i to row j.
