Category:Negative Matrices
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This category contains results about Negative Matrices.
Definitions specific to this category can be found in Definitions/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 "Negative Matrices"
The following 4 pages are in this category, out of 4 total.