A hyperplane in R is an n-1 dimensional linear subspace cut out by one non-trivial linear...

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A hyperplane in R" is an n-1 dimensional linear subspace cut out by one non-trivial linear equation. A line is a one dimensional linear subspace cut out by 1 appropriately chosen linear equations. If the line doesn't lie on the hyperplane, what do you expect the dimension of the intersection of the line and the plane to be? Justify your answer with linear algebra. n- A hyperplane in R" is an n-1 dimensional linear subspace cut out by one non-trivial linear equation. A line is a one dimensional linear subspace cut out by 1 appropriately chosen linear equations. If the line doesn't lie on the hyperplane, what do you expect the dimension of the intersection of the line and the plane to be? Justify your answer with linear algebra. n-

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The dimension of the intersection of the line and the hyperplane is expected to be 0 In other words ... View the full answer