Question

Determine all values of the constant k for which the following system have; a) No solution...

Determine all values of the constant k for which the following system have;

a) No solution
b) Infinite number of solutions

x1 + 2x2 –x3 = 3

2x1 + 5x2 +x3 = 7

x1 + x2 –k2x3 = -k

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Answer #1

3 ( g. 13 25 17 + Augmented form Il-K? * of given equations Rat Rq -2R1, Ret Rs f i we get Alley a rit 32 10+ tatil-3 R3+ RstNow Aro 18 many solution Now ie system has Rank(A) = and K=12 infinitely Rank (Alb) 1 Al=0 Now so IAIO e K=12 a Rank(A) =2 No

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