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Show that if an in xin symmetric matrix has the form S AT A for some not necessarily - square matrix A , then S is positive definite if and only if

Show that if an n × n symmetric matrix has the form S = AT A for some not- necessarily-square matrix A, then S is positive definite if and only if the column space of A has dimension n.


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Show that if an in xin symmetric matrix has the form S
AT A for some not
necessarily - square matrix A , then S is positive definite if and only if the column
space of A has dimension

Top Answer

S is a positive definite matrix if S is non-negative definite matrix and... View the full answer

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