Matrix MultiplicationDownload Wolfram Notebook The product of two matrices and is defined as (1) where is summed over for all possible values of and and the notation above uses the Einstein summation convention. The implied summation over repeated indices without the presence of an explicit sum...
Matrix Multiplication, Matrix Trace, McCoy's Theorem, Minimal Matrix, Normal Matrix, Pauli Matrices, Permutation Matrix, Positive Definite Matrix, Random Matrix, Rational Canonical Form, Reducible Matrix, Roth's Removal Rule, Shear Matrix, Singular Matrix, Smith Normal Form, Sparse Matrix, Special Ma...
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A matrix can be tested to see if it is a special orthogonal matrix using the Wolfram Language code SpecialOrthogonalQ[m_List?MatrixQ] := (Transpose[m] . m == IdentityMatrix @ Length @ m && Det[m] == 1) The special orthogonal matrices are closed under multiplication and the inverse...
The-matrices immediately give a number of important Fibonacci identities, including (3) which gives (4) (5) which gives (6) and (7) which gives (8) (Honsberger 1985, pp. 105-106). See also Explore with Wolfram|Alpha