determinants and inverses

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6 Terms

1
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det(E)

≠ 0

2
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Ri → cRi, det (E) =

c

3
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Ri → Ri + cRj, det (E) =

1

4
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Ri ←→ Ri, det (E) =

-1

5
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if A is n x n, then det(EA) =

det(E)det(A)

6
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A is invertible iff

det (A) ≠ 0