Category:Definitions/Negative Matrices

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This category contains definitions related to Negative Matrices.
Related results can be found in Category:Negative Matrices.


Let $\GF$ denote one of the standard number systems.

Let $\map \MM {m, n}$ be a $m \times n$ matrix space over $\GF$.

Let $\mathbf A = \sqbrk a_{m n}$ be an element of $\map \MM {m, n}$.


Then the negative (matrix) of $\mathbf A$ is denoted and defined as:

$-\mathbf A := \sqbrk {-a}_{m n}$
\(\ds -\mathbf A\) \(=\) \(\ds -1 \mathbf A\)
\(\ds \) \(=\) \(\ds \sqbrk {-a}_{m n}\)

where:

$-1 \mathbf A$ denotes the matrix scalar product of $-1$ with $\mathbf A$
$-a$ is the negative of $a$.

Pages in category "Definitions/Negative Matrices"

The following 4 pages are in this category, out of 4 total.