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4. Evaluate the determinant of the matrix by using a convenient column or row. (a) 3 -1 3 1 A = 2 0 0 1 0 -2 1 0 3 4 (b) Is A invertible? Why? (3,0,0,3), v4 = (5,-2,0, 4) linearly (c) Are the vectors v = (3, 1, 2, 1), v2 = (-1,0,1,0), v3 independent? Explain why. (d) Is {v1, 02, T3, 74} a basis for R4? Why?

4. Evaluate the determinant of the matrix by using a convenient column or row. (a) 3 -1 3 1 A = 2 0 0 1 0 -2 1 0 3 4 (b) Is A invertible? Why? (3,0,0,3), v4 = (5,-2,0, 4) linearly (c) Are the vectors v = (3, 1, 2, 1), v2 = (-1,0,1,0), v3 independent? Explain why. (d) Is {v1, 02, T3, 74} a basis for R4? Why?

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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please send handwritten solution for Q4 part a and b
4. Evaluate the determinant of the matrix by using a convenient column or row. (a) 3 -1 1 A = 2 0 0 1 0 -2 1 0 3 4 (b) Is A invertible? Why? (3,0,0,3), đ4 = (5,–2,0, 4) linearly (c) Are the vectors v1 = (3, 1, 2, 1), v2 = (-1,0,1,0), v3 independent? Explain why. (d) Is {v1, 02, T3, 74} a basis for R4? Why?
Transcribed Image Text:4. Evaluate the determinant of the matrix by using a convenient column or row. (a) 3 -1 1 A = 2 0 0 1 0 -2 1 0 3 4 (b) Is A invertible? Why? (3,0,0,3), đ4 = (5,–2,0, 4) linearly (c) Are the vectors v1 = (3, 1, 2, 1), v2 = (-1,0,1,0), v3 independent? Explain why. (d) Is {v1, 02, T3, 74} a basis for R4? Why?
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