MAT223H1 Study Guide - Midterm Guide: Linear Combination, Points Of The Compass, Row Echelon Form
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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. true false. [4] 1(b) if a and b are square matrices and both ab = 0 and ba = 0, then either a = 0 or. 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. [4] 2(b) it is possible to nd a 2 2 matrix whose rows are linearly dependent but whose columns are linearly independent. true false.
