Using affine transformations multiple different euclidean transformations including translation can be combined by simply multiplying the corresponding matrices.

The fourth power of the norm of a quaternion is the determinant of the corresponding matrix.

Diagonalization is the process of finding a corresponding diagonal matrix for a diagonalizable matrix or linear map.

Let be the corresponding coding matrices of sizes .

The corresponding real 2nx2n matrix is denoted J.

Instead is more appropriately seen as a mapping operator, taking in a 4-vector and mapping it to the corresponding matrix in the Clifford algebra representation.

In particular, the row vectors of A are a basis for the null space of the corresponding matrix.

By choosing suitable basis and write the corresponding matrices in block triangular form one easily sees that character functions are additive in the above sense.

That is, the corresponding real symmetric matrix is diagonalised, and the diagonal entries of each sign counted.

The corresponding matrix of eigenvectors is unitary.