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- x 4x – 8y + 32z = 24 (2r – 3y + 11z = 4 y + 3z = 3 43.

- x 4x – 8y + 32z = 24 (2r – 3y + 11z = 4 y + 3z = 3 43.

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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Sec11.3#43 only
39–48 - Dependent or Inconsistent Linear Systems Determine whether the system of linear equations is inconsistent or depen- dent. If it is dependent, find the complete solution. + 3z = 3 40. {2r + y – 2z = 5 -y + 8z = 8 x + y + z = 2 39. y – 3z = 1 (2r + y + 5z = 0 2y + 5z = –2x + 6y – 1lz = 3 %3D X - .41. + 3z = 2 42. –3x + y – 4z = -3 3x – 16y + 20z = –26 %3D y + 3z = 3 43. {4x – 8y + 32z = 24 (2r – 3y + 11z = -2r + 6y – 2z = -12 x – 3y + 2z = 10 -x + 3y + 2z = %3D 44. %3D - x + 4y – 2z = -3 45. {2x – y + 5z = 12 &x + 5y + 11z = 30 3r + 2s – 3t = 10 %3D 46. s - t= -5 %3D r + 4s - t = 20 %3D 2x + y – 2z = 12 47. {-x – ty + z = -6 3x +y – 3z = 18 y - 5z = 7 3x + 2y 48. = 12 3x + 10z = 80
Transcribed Image Text:39–48 - Dependent or Inconsistent Linear Systems Determine whether the system of linear equations is inconsistent or depen- dent. If it is dependent, find the complete solution. + 3z = 3 40. {2r + y – 2z = 5 -y + 8z = 8 x + y + z = 2 39. y – 3z = 1 (2r + y + 5z = 0 2y + 5z = –2x + 6y – 1lz = 3 %3D X - .41. + 3z = 2 42. –3x + y – 4z = -3 3x – 16y + 20z = –26 %3D y + 3z = 3 43. {4x – 8y + 32z = 24 (2r – 3y + 11z = -2r + 6y – 2z = -12 x – 3y + 2z = 10 -x + 3y + 2z = %3D 44. %3D - x + 4y – 2z = -3 45. {2x – y + 5z = 12 &x + 5y + 11z = 30 3r + 2s – 3t = 10 %3D 46. s - t= -5 %3D r + 4s - t = 20 %3D 2x + y – 2z = 12 47. {-x – ty + z = -6 3x +y – 3z = 18 y - 5z = 7 3x + 2y 48. = 12 3x + 10z = 80
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