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Matrix Definitions
Unity
Elementary
Symmetric
Diagonal Matrix with main diagonal elements = 1
All elements = 0 except for a single 1
Square Matrix with aij = aji
Square
Diagonal
Null
Same number of rows and columns
Square Matrix with aij = 0 for all i ¹ j
All elements = 0
Singular
Value of determinant = 0
Determinant
Adjoint
Square Matrix where aij is replaced with I, j cofactor multiplied by (-1)i·j.
Adjoint A = adj A
Rank
Maximum number of linearly independent columns of the matrix A.
Order of the longest nonsingular matrix contained in matrix A.
Rank of A = Rank of A' Rank of A = Rank of A'A Rank of A = Rank of A A'
Transpose
Matrix where rows and columns are interchanged.
Transpose A = A
(A')' = A (kA)' = kA' (A+B)' = A'+B' (AB)' = B'A'
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RF Cafe Erie, PA (814) 833-1967
A Disruptive Web Presence™ GPS Coordinates: N 42°04.577', W 080°11.757'
