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SOLVED: 9. Construct a matrix with the required property, or explain why you can't. (1) The column space contains 6% and the row space contains [2] [H-]. (2) The column space has a basis of 2 and the nullspace has a basis of 3. (3) The dimension of the nullspace is 1 the dimension of the left nullspace. (4) The left nullspace contains 37 and the row space contains.
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Construct a matrix with the required property or say why that is impossible. (a) Column space contains [ 1 2 -3] and [ 2 -3 5], nullspace contains [ 1 1 1]. (b) Row space contains [ 1 2 -3] and [ 2 -3 5], nullspace contains [ 1 1 1]. (c) A x=[ 1 1 1] has a solution and A^T[ 1 0 0]=[ 0 0 0]. (d) Every row is orthogonal to every column ( A is not the zero matrix). (e) The columns ad
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