In linear algebra, a matrix unit is a matrix with only one nonzero entry with value 1. The matrix unit with a 1 in the ith row and jth column is denoted...

&1\end{bmatrix}}.} The term unit matrix has also been widely used, but the term identity matrix is now standard. The term unit matrix is ambiguous, because...

columns in the first matrix must be equal to the number of rows in the second matrix. The resulting matrix, known as the matrix product, has the number...

In linear algebra, an orthogonal matrix, or orthonormal matrix, is a real square matrix whose columns and rows are orthonormal vectors. One way to express...

In linear algebra, an invertible complex square matrix U is unitary if its matrix inverse U−1 equals its conjugate transpose U*, that is, if U ∗ U = U...

triangular matrix. So, if a matrix decomposition of a matrix A is such that: A = LDU being L a unit lower triangular matrix, D a diagonal matrix and U a unit upper...

rotation matrix is a transformation matrix that is used to perform a rotation in Euclidean space. For example, using the convention below, the matrix R = [...

The Matrix is a 1999 science fiction action film written and directed by the Wachowskis. It is the first installment in the Matrix film series, starring...

In mathematics, a triangular matrix is a special kind of square matrix. A square matrix is called lower triangular if all the entries above the main diagonal...

normal matrix is unitary if and only if all of its eigenvalues (its spectrum) lie on the unit circle of the complex plane. Proposition — A normal matrix is...