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searching for Quaternionic matrix 4 found (7 total)

Quaternionic representation (689 words) [view diff] exact match in snippet view article find links to article

invertible quaternion-linear transformations of V. In particular, a quaternionic matrix representation of g assigns a square matrix of quaternions ρ(g) to

Classical group (7,815 words) [view diff] exact match in snippet view article find links to article

the dimension of the quaternionic matrices. The determinant of a quaternionic matrix is defined in this representation as being the ordinary complex determinant

Octonion (5,316 words) [view diff] exact match in snippet view article find links to article

}^{*}\end{bmatrix}}} Using a slightly modified (non-associative) quaternionic matrix multiplication: [ α 0 α 1 α 2 α 3 ] ∘ [ β 0 β 1 β 2 β 3 ] = [ α 0

Robert Charles Thompson (1,305 words) [view diff] exact match in snippet view article find links to article

1994 Thompson, Robert C. (1997). "The upper numerical range of a quaternionic matrix is not a complex numerical range". Linear Algebra and Its Applications