structures:matrix:applications
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structures:matrix:applications [2025/03/03 10:49] simon [Matrices details] |
structures:matrix:applications [2025/03/03 10:52] (current) simon [working with matrices] |
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| ====working with matrices==== | ====working with matrices==== | ||
| - | So far we know a [[discussion#matrices|matrix]] is a table of [[discussion#scalar]]s (often Real Numbers), rows and columns sometimes representing data or perhaps representing a list of [[discussion#vectors]]. But perhaps it is just a matrix in its own right. I have mentioned we can add them and multiply them by a value from their scalars, and that they can represent the transformations we have studied in cartesian [[discussion#space]] (rotation, stretching etc). I also mentioned that [[discussion#Complex Numbers]] can fit in here in an intriguing way. So here are some details. | + | So far we know a [[discussion#matrices|matrix]] is a table of [[discussion#scalar]]s (often Real Numbers), rows and columns sometimes representing data or perhaps representing a list of [[discussion#vectors]]. But perhaps it is just a matrix in its own right. I have mentioned we can add them and multiply them by a value from their scalars, and that they can represent the transformations we have studied in cartesian [[discussion#space]] (rotation, stretching etc). I also mentioned that [[discussion#Complex Numbers]] can fit in here in [[discussion#complex-as-matrix|an intriguing way]]. So here are some details. |
| Any matrix can be multiplied by its type of scalar, multiply each element individually: | Any matrix can be multiplied by its type of scalar, multiply each element individually: | ||
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