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ISE 330: Linear Algebra Quiz - University of Southern California, Quizzes of Systems Engineering

A linear algebra quiz from the university of southern california's daniel j. Epstein department of industrial and systems engineering for the course ise 330: introduction to operations research. The quiz includes four problems, each focusing on a different operation with a given matrix a and matrix b. Students are required to evaluate the sum of matrices a and b, find the transpose of matrix b, determine the product of matrix a and the transpose of matrix b, and evaluate the result of subtracting the scalar 1 from the product. Additionally, there are three sets of vectors given, and students must determine if each set forms a basis in r3.

Typology: Quizzes

Pre 2010

Uploaded on 11/08/2009

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Download ISE 330: Linear Algebra Quiz - University of Southern California and more Quizzes Systems Engineering in PDF only on Docsity! 1 University of Southern California Daniel J. Epstein Department of Industrial and Systems Engineering ISE 330: Introduction to Operations Research Linear Algebra Quiz 1. A = 1 -2 3 B = 3 0 2 4 5 -6 -7 1 8 (i) Evaluate A + B (ii) Find BT (iii) Determine A.BT (iv) Evaluate [A.BT] -1 2. Determine if the following form a basis in R3 (i) (1,1,1), (1,-1,5) (ii) (1,2,3), (1,0,-1), (3,-1,0), (2,1,-2) (iii) (1,1,1), (1,2,3), (2,-1,1)
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