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structures:matrix:linear [2025/03/13 08:00] simon [Linear map] |
structures:matrix:linear [2025/03/13 08:00] (current) simon [linear transformations with matrices] |
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We can use [[discussion#matrix]] algebra and notation to work with transformations including linear and affine ones. | We can use [[discussion#matrix]] algebra and notation to work with transformations including linear and affine ones. | ||
- | ====linear transformations with matrices==== | + | ====Linear transformations with matrices==== |
Now consider [[applications#square matrices]]. For matrix multiplication with `n`-dimenional square matrices we have an //Identity//, the //Unit// for multiplication, like `1` in the scalars, | Now consider [[applications#square matrices]]. For matrix multiplication with `n`-dimenional square matrices we have an //Identity//, the //Unit// for multiplication, like `1` in the scalars, | ||
\[%%I=\left[\matrix{ | \[%%I=\left[\matrix{ |