MATH 1211 Lecture Notes - Lecture 6: Invertible Matrix, Gaussian Elimination, European Credit Transfer And Accumulation System
27 Apr 2016
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Attempt all questions and show all your work. Explain your answer. (b) find an equation of the plane containing p1, p2 and p3: find the inverse of the matrix or explain why the inverse does not exists. 1 0 8 (a) a = (b) b = . 4: find all values of c, if any, for which the matrix a = c 1 0. Is invertible: show that if a is invertible, then det(a 1) = det(a) 1. Deduce a formula for the determinant of 4a 1, when a is an invertible n n-matrix: let. Evaluate each of the following: (a) the (2,3) cofactor of a. (b) the 3rd row of b t a. (c) det(2(a 1)t ): writing the system. +2x3 = 0 x1 as ax = b, (a) nd the inverse matrix a 1; (b) nd the solution to the system at x = b by using (a): let.
