5. Use a determinant to find the values of x for which the matrix below is singular. (3 2 4 A = (2 0 2) – xl3 \4 2 3/ 6. Use the same matrix A as in the previous problem. a. For each value of x found in problem 5, explain why Nul A is nontrivial without doing any calculations. b. For each value of x found in problem 5, find Nul A, Col A, rank A and nullity A.
5. Use a determinant to find the values of x for which the matrix below is singular. (3 2 4 A = (2 0 2) – xl3 \4 2 3/ 6. Use the same matrix A as in the previous problem. a. For each value of x found in problem 5, explain why Nul A is nontrivial without doing any calculations. b. For each value of x found in problem 5, find Nul A, Col A, rank A and nullity A.
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Determinants
Section3.1: The Determinants Of A Matrix
Problem 70E: The determinant of a 22 matrix involves two products. The determinant of a 33 matrix involves six...
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