Unformatted text preview: 2. the columns are linearly independent, which means that Ax = 0 has only the solution x = 0, i.e. the nullspace N ( A ) = { } 3. the rows of A span R n 4. the rows are linearly independent 5. det A 6 = 0 6. the inverse A1 exists, such that A1 A = AA1 = I 7. For Ax = λx , λ 6 = 0 (there are no zero eigenvalues of A ) 8. A T A is symmetric positive deﬁnite...
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 Fall '04
 BELMONTE
 Linear Algebra, Applied Mathematics, Matrices, ax, linearly independent columns, span Rn

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