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Find a basis and the dimension for the solution of the system - Linear Algebra
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10. Find a basis and the dimension for the solution of the system
x+3y+4z = 0 2x+y+3z = 0 −x+2y+z = 0
(Answer: B = (−1, −1, 1), and dim = 1).
11. Find a basis and the dimension for span{(1, 1, 2), (3, −1, 0), (4, 0, 2)} (Answer: B =
{(1, 1, 2), (3, −1, 0)} and dim = 2).
x+3y+4z = 0 2x+y+3z = 0 −x+2y+z = 0
(Answer: B = (−1, −1, 1), and dim = 1).
11. Find a basis and the dimension for span{(1, 1, 2), (3, −1, 0), (4, 0, 2)} (Answer: B =
{(1, 1, 2), (3, −1, 0)} and dim = 2).
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