determinants, adjugates, inverses

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10 Terms

1
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det(AB) =

det(A)det(B)

2
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det(A-1) =

1/det(A)

3
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det(An)=

(det(A))n

4
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similar matrices

if there exists C n x n such that A = C-1BC

5
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determinants of similar matrices are

the same

6
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det(AT) =

det(A)

7
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cofactor of i,j

(-1)i+j * det(matrix when row i and column j are removed)

8
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adjugate of a matrix is

transpose of the matrix of cofactors of A

9
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A(adj(A)) =

det(A)I

10
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A-1 in terms of det and adj

1/det(A) • adj(A)