2 Find bases and dimensions for the four subspaces associated with A and B: A = 1 2 4 and B= = 1 24 24 8 25 8

5 Find the vector form fer the geverat solution to the system of equotins. メ、* X,+ ZXs - Xy - Xe= -8 3x, - 3x2 + X3 -2xq - Xg = -7 X3 + 3xy-10x5 =19 %3D

1. Determine if these vectors are linearly independent or linearly dependent. If they are linearly independent show this. If they are linearly dependent, write a nontrivial linear combination (at least some coefficients need to be nonzero) of them being equal to 0. {4.0-6)}

4. ) Determine whether the following three vectors are linearly independent or inearly dependent. v₁ = (3,3, 0, 2), v₂ = (0, 2, 3, 1), V3 (3, 0, -2, -1). Hint: You can turn them into column vectors. =