Terms/Questions per Day
Terms
50 new/unreviewed 50 total
Term
Define the (i,j)-minor M_{i,j} of an n×n matrix A.
Definition
The (n-1)×(n-1) matrix obtained by deleting row i and column j from A.
New/Unreviewed
Term
Define the (i,j)-cofactor C_{i,j}.
Definition
C_{i,j} = (-1)^{i+j} det(M_{i,j}), where M_{i,j} is the (i,j)-minor.
New/Unreviewed
Term
Give the recursive definition of det(A) for an n×n matrix A, expanding along row 1.
Definition
det(A) = sum from j=1 to n of a_{1j} C_{1j}, with base case det([a]) = a.
New/Unreviewed
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