Investigate for what values of λ, μ the simultaneous equations x + y +z = 6; x + 2y + - Maths - Determinants

Question

Investigate for what values of λ, ​μ the
simultaneous equations x + y +z = 6; x + 2y + 3z = 10 & x + 2y
+ λz = μ have :
(a) A unique solution (b) An infinite number of solutions (c) No
solution

Anuradha Sharma · Accepted Answer

Hi,
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Investigate for what values of λ, ​μ the simultaneous equations x + y +z = 6; x + 2y + 3z = 10 & x + 2y + λz = μ have : (a) A unique solution. (b) An infinite number of solutions. (c) No solution.

Investigate for what values of λ, μ the simultaneous equations x + y +z = 6; x + 2y + 3z = 10 & x + 2y + λz = μ have :
(a) A unique solution. (b) An infinite number of solutions. (c) No solution.