Question

2 seperate questions multiple choice

The augmented matrix for a system is given as, (9-3631 Find the general solution or state that there is no solution No solution 5 = 7 T. N (-5,7)

Answer 1

-5 -5 -5 :] x-5y = 5] -> The system seduces to 7 a-contradictior :. There is no solution A let, v be the eigen vectos w.eit 9=-3, where va " [1] i. Ave -Bv =Y A+313) v=0 z> 1+3 -4 -4 -4 1110 Ч 1+3 -4 4 - 7+3 2> -4 V 2 4 -4 4 -4 4 -4 оо 4 -4 .. Augmented matrix: - -4 4 -4 -4 -4 10 4 -4 니.. R2=R2+RI R3=R3-R1 4 -4 o o o Ri'a Ri i.e. u-y-z=0 => 234+z. Y+z7 h :] - Z :. Basis : [!],[]}

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