MAT223H1 Study Guide - Midterm Guide: Augmented Matrix, Elementary Matrix
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October 20, 2011: anghel, s. arkhipov, s. shahroki-tehrani, s. uppal. 1 of 10: a system of linear equations in the variables x1, x2, x3, x4 is represented by the following augmented matrix: [6] (a) find the reduced row-echelon form of the augmented matrix. [3] (d) find the general solution to the system. Extra page for question 1 - do not remove. Consider the system of linear equations ax1 + 3x2 = 1. 4x1 bx2 = 2 (a) find real numbers a and b such that the linear system has an in nite number of solutions. (b) find real numbers a and b such that the linear system has no solutions. [5](b) write a as a product of elementary matrices. Extra page for question 3 - do not remove. 6 of 10: consider the subset w = {p(x) p3(r) | p(2) = p( 1) = 0} of p3(r). [5] (a) show that w is a subspace of p3(r).
