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Question: 1. Solve the following set of equations using matrix methods.

x1 + 2x2 + 2x3 = 1

2x1 + 2x2 + 3x3 = 3

x1 - x2 + 3x3 = 5

2. Determine those values of λ for which the following set of equations may possess a nontrivial solution.

3x1 + x2 - λx3 = 0

4x1 - 2x2 - 3x3 = 0

2λx1 + 4x2 + λx3 = 0

For each permissible value of λ, determine the most general solution.

Engineering Mathematics, Engineering

  • Category:- Engineering Mathematics
  • Reference No.:- M92338553

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