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Find a basis for the null space of each given matrix A 1 -1 2 1 | 2 1 -1 3 12. A = | 5 -1 3 3 4 -2 5 1 3 1 3 -4 -5 6.

Find a basis for the null space of each given matrix A 1 -1 2 1 | 2 1 -1 3 12. A = | 5 -1 3 3 4 -2 5 1 3 1 3 -4 -5 6.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Find a basis for the null space of each given matrix A 1 -1 1 2 1 –1 3 12. А —D | 5 -1 3 3 4 -2 5 1 3 1 3 -4 -5 6. In Exercises 13 through 16, find a basis for the solution space of the homogeneous system (.In scalar i and given matrix A. A)x = 0 for the given - 3 2 13. 1 = 1, A 2 -4 -3 14. A = -3, A 3 0. 15. A = 1, A = | 1 -3 3 1 -2 16. Л3 3, А %3 -1 2 1 1 In Exercises 17 through 20, find all real numbers à such that the homogeneous system (1I, А)х 0 has a nontrivial solution. 2 17. A = 3 3 18. А —
Transcribed Image Text:Find a basis for the null space of each given matrix A 1 -1 1 2 1 –1 3 12. А —D | 5 -1 3 3 4 -2 5 1 3 1 3 -4 -5 6. In Exercises 13 through 16, find a basis for the solution space of the homogeneous system (.In scalar i and given matrix A. A)x = 0 for the given - 3 2 13. 1 = 1, A 2 -4 -3 14. A = -3, A 3 0. 15. A = 1, A = | 1 -3 3 1 -2 16. Л3 3, А %3 -1 2 1 1 In Exercises 17 through 20, find all real numbers à such that the homogeneous system (1I, А)х 0 has a nontrivial solution. 2 17. A = 3 3 18. А —
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