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4. Let V1 = 3 V2 = V3 = 9. (a) Solve theequation r1v1 + x2v2 + *3V3 =b where 8 b = 18 (b) Show that the set of vectors v1, V2, V3 is linearly dependent by exhibiting a non trivial splution to the equation xiV+X2V2 + 3V3 = 0

4. Let V1 = 3 V2 = V3 = 9. (a) Solve theequation r1v1 + x2v2 + *3V3 =b where 8 b = 18 (b) Show that the set of vectors v1, V2, V3 is linearly dependent by exhibiting a non trivial splution to the equation xiV+X2V2 + 3V3 = 0

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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3. Determine if the following matrices are in reduce echelon form, if not, find its reduced form and in all cases display the set solution in their vector form. 1 0 -1 0 0 1 0 0 0 0 100 A = 0 1 0 0 -3 B = 3 0 0 6 0 0 0 0 1 8 1 -3 0 0 0 0 4 2 1 2 0 5 0 0 1 0 0 0 0 0 C = 0 0 D = %3D 0 1 -5 1 4. Let .- -- -- 1 1 1 V2 = 4 Vị = V3 = || %3D 9. (a) Solve the equation x1v1 + x2v2 + X3V3 = b where 8. b = %3D 18 (b) Show that the set of vectors v1, V2, V3 is linearly dependent by exhibiting a non trivial splution to the equation X1V+X2V2 + 13V3 = 0
Transcribed Image Text:3. Determine if the following matrices are in reduce echelon form, if not, find its reduced form and in all cases display the set solution in their vector form. 1 0 -1 0 0 1 0 0 0 0 100 A = 0 1 0 0 -3 B = 3 0 0 6 0 0 0 0 1 8 1 -3 0 0 0 0 4 2 1 2 0 5 0 0 1 0 0 0 0 0 C = 0 0 D = %3D 0 1 -5 1 4. Let .- -- -- 1 1 1 V2 = 4 Vị = V3 = || %3D 9. (a) Solve the equation x1v1 + x2v2 + X3V3 = b where 8. b = %3D 18 (b) Show that the set of vectors v1, V2, V3 is linearly dependent by exhibiting a non trivial splution to the equation X1V+X2V2 + 13V3 = 0
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