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Let a be an nxn matrix with rowspace(a) = nullspace(a).

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The subject of this question is Mathematics at the College level. The question asks about an nxn matrix with the property that its rowspace is equal to its nullspace. To understand this concept, we need to know that the rowspace of a matrix is the span of its row vectors, and the nullspace is the set of all the vectors that satisfy the matrix equation Ax = 0.

Step-by-step explanation:

The subject of this question is Mathematics at the College level.



The question asks about an nxn matrix with the property that its rowspace is equal to its nullspace.



To understand this concept, we need to know that the rowspace of a matrix is the span of its row vectors, and the nullspace is the set of all the vectors that satisfy the matrix equation Ax = 0.



Therefore, for the rowspace of a matrix to be equal to its nullspace, it means that the row vectors span the same space as the vectors that satisfy the equation Ax = 0.

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