MAT 22A Lecture Notes - Lecture 7: Triangular Matrix, Ibm System I
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In general to solve an mln systems of eqns , elimination proceeds as follows : 1st egn to create zeros below the first pivot. Continue until you get upper triangular form . switching rows if necessary at any of these steps. If you get a complete set of n pivots . the system has a unique solution. Otherwise system has no solutions or infinitely many solution ex. Suppose a we system of eqns in have an nxn system. In matrix form , and then solve it using elimination. I to the right side of a . so that. [ a 15 ] is an n x. We can then solve the system by performing elimination for row operations i on. We will eventually view now operations as multiplications by a matrix on the left. I vectors matrices and so on ) upon left. We need to first learn how to mutiply two matrices.