Question: Mention two subspaces of any vector space V. What can we say about the determinant of a matrix which is invertible? What happens to a

 Mention two subspaces of any vector space V. What can we

Mention two subspaces of any vector space V. What can we say about the determinant of a matrix which is invertible? What happens to a vector when we multiply it with a scalar? How do we check if V(vector) is orthogonal to v (vector). What is the maximum and minimum rank of a n x n matrix? The determinant of a matrix with all positive eigenvalues is Suppose Span({ v1, v2, v3, VA})=Span({v1, v3}). What can be said about 12 and v

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