Dependent or Inconsistent Linear System Determine whether the system of linear equations is inconsistent or dependent. If it is dependent, find the complete solution.
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1 h 3] 3. Suppose that a system of equations has the augmented matrix TIX0 -5h – 10k - 15 If the system is inconsistent, then the values of h and k must be: (b) h= 2, k = 15 (c) h -2, k = 15 (d) h = -2, k = 15 (a) h= -2, k = 15 (e) h + -2, k #15
1. Put the following system of equations into an augmented matrix and perform row opera- tions to get the matrix into Row Reduced Echelon Form. Give your answer as r = ..., y = ...,2= .... Marks will be deducted if you leave your solution in matrix form! IF the system is inconsistent, it is sufficient to only Row Reduce, and then clearly state your findings [22 marks]. (a) 2.r + 3y - 2 1 + y +2 y - 22 = = = 4 3 -1 11 +262 +23 – 3.04 = 2.0 +6.02 + 3.03 - 24 = -X1 + 12 + 2.24 = ri +12 +13 + 3.04 = 1 Ti + 2x2 - 3.13 +224 = -3.01 - 672 +2.13 - 14 = 12 + 2.13 +2 = -Ii - 22 - 2.13 + 4.14 ܝܙ ܨܝܝ
10. Consider the system of linear equations: E Which of the following is true? a) This system has a unique solution b) This system has exactly two solutions c) This system has infinitely many solutions d) This system has no solution e) This system has a unique solution and then also infinitely many solutions D none of the others Consider the system of linear equations: 3y + z = - 3 = 10 y - 22 - 16 3x -
