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2 L 6.) Determine which values of h correspond to a (a) unique solution, (b) no solution, and (c) infinitely many solutions. 1 2 h 0 2 4 h+l1 2 3 6 2h+1 2 Find a 3x3 matrix M that satisfies the following relations. 1 1 1 0 0 1 M|1|=|0 M|0|=|0] M|0|=|1 1 1 1 1 1 0 Write the non-pivot columns of the given matrix as linear combinations of its pivot columns, 1 -1 00 =t 1 by 11 203 1 2 3 4 Determine all values of x and y that make the vectors linearly independent. x| | x 1 02y 3y o'l o] o 0]12y||x-y Consider W the subset of the Vector Space M 22, the set of all 2x2 matrices. W= Find a basis for and the dimension of W. a+b a-b - rr 32 : . s . ) Given W a subset of [|R with the following properties for vectors u and v in W and scalar c. u+v=(u,u,)+(v,v,)=(u +v, +Lu, +v, +1) cu=(cy, +c-1,cu, +c-1) 2. = Is W a subspace of "7 Why or why not