MTH 125 Study Guide - Midterm Guide: Augmented Matrix, Row And Column Spaces, Null Character

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Part a - true/false questions for each of the following assertions, answer t (= true) if and only if the assertion is always true. Print the letter of the answer you think is most correct in the box at the top of page 2. Each right answer earns 2 points and each wrong answer earns 0 points (there is no penalty for guessing , so do not leave any blanks !) Justi cation is neither required nor rewarded, but a small workspace is provided for your calculations and rough work. Part b - full solution problem solving: in all of this question let. 0 2 2 (a) find the rref (a). [5 points] (b) find a basis for n ul(a). [4 points] (c) find a basis for col(a) consisting of some columns of a. [3 points] (d) find the orthogonal projection of the 2nd column of a onto the span of the 3rd column.

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