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Consider the vector u1=(2,0,2), u2=(4,1,-1), u3=( 0,1,-5), u4=(3,0,2) a) Find the dimension and a basis for...

Consider the vector u1=(2,0,2), u2=(4,1,-1), u3=( 0,1,-5), u4=(3,0,2)

a) Find the dimension and a basis for U= span{ u1,u2,u3,u4}

b) Does the vector u=(2,-1,4) belong to U. Justify!

c) Is it true that U = span{ u1,u2,u3} justify the answer!

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