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Consider the homogeneous system of linear equations. For convenience, their general solution is given. It can be shown that the solution of the system

Consider the homogeneous system of linear equations. For convenience, their general solution is given. It can be shown that the solution of the system forms a subspace W of some R". Find a basis for the subspace of the solution and give dimension. x + x8x3 + 10x = 0 x2 - x3 + 3x40 X + 2x9x3 + 13x4 0 The general solution is (7r - 7s, r- 3s, r, s). basis dimension Give written description of the subspace. O a plane through the origin of R O a three-dimensional subspace of R O a line through the origin of R O a line through the origin of R O a plane through the origin of R

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