Matrices:
A, B, C
Elements
of matrices: ai, bi, aij, bij, cij
Determinat
of a matrix: det A
Minor
of an element aij : Mij
Cofactor
of an element aij : Cij
Transpose
of a matrix: AT, Ã
Adjoint
of matrix: adj A
Trace
of a matrix: tr A
Inverse
of a matrix: A– 1
Real
number: k
Real
variables: xi
Natura
numbers: m, n
Determinants
- Second Order Determinant
- Third Order Determinant
- Sarrus Rule (Arrow Rule)
Figure
- N-th Order Determinant
- Minor
The minor Mij
associated with the element aij of n-th order matrix
A is the (n – 1) –th order determinant derived from the matrix A by
deletion of i-th row and j-th column.
- Cofactor
Cij = (–
1)i+ j Mij
- Laplace Expansion of n-th Order Determinant
Laplace expansion by elements
of the i-th row
Laplace expansion by elements
of the j-th column
Labels:
Mathematician
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