MAT223H1 Study Guide - Midterm Guide: Linear Combination, Euclidean Vector, Row Echelon Form
Document Summary
February 28, 2008: abou-salem, a. hammerlindl, d. krepski, s. uppal. [4] 1(a) if the homogeneous system of linear equations ax = 0 has only the trivial solution, then ax = b has a unique solution for every vector b. , then the homogeneous system ax = 0 has only the trivial solution, [4] 1(b) if a and b are square matrices and both ab = 0 and ba = 0, then either a = 0 or. 0 1 and b = true false are non-zero matrices such that both ab = 0 and. For each of the statements below, decide if it is true or false. Indicate your answer by shading in the box corresponding to your choice. Justify your answer by providing an appropriate proof or counter example. [4] 2(a) if s is a linearly dependent set, then each vector in s is a linear combination of other vectors in s. true false.
