Characterisation Of Det Flashcards
1
Q
If D is a matrix multilinear and alternating in columns, what is D(A)
A
If D is a matrix multilinear and alternating in columns then D(A) is:
D(A) = D(I)det(A)
2
Q
What is product formula for determinants
A
Product formula for determinants is:
Det(AB) = Det A * det B
3
Q
What matrices have same determinant
A
Similar matrices have same determinant
4
Q
What is minor of matrix A (mu(A))
A
Minor of matrix A is:
Mu(A) = det(Mij(A)) where Mij(A) is obtained from A by removing row and column I
5
Q
What is the adjugate of matrix A
A
Adjugate of matrix A is:
Adj(A) = Bij where Bij = (-1)^i+j MUji
6
Q
What is Adj(A) * A
A
Adj(A) * A = det(A) *I
7
Q
What is formula for inverse of a matrix
A
Formula for inverse o a matrix is:
1/det A * Adj(A)
