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| public:calculator:guides:dm41x_matrix [07/02/26 20:37 GMT] – [Multiplication of Complex Matrices] john | public:calculator:guides:dm41x_matrix [08/02/26 08:26 GMT] (current) – [Example Definition] john | ||
|---|---|---|---|
| Line 36: | Line 36: | ||
| |C|'' | |C|'' | ||
| |D|'' | |D|'' | ||
| - | |E|'' | + | |E|'' |
| |F|'' | |F|'' | ||
| |G|'' | |G|'' | ||
| |H|'' | |H|'' | ||
| - | Matrices are saved in Extended Memory, and I put commands in CST to find and remove them once I'm finished: '' | + | Matrices are saved in Extended Memory, and I put commands in CST to find and remove them once I'm finished: '' |
| ===== Basic Workflow ===== | ===== Basic Workflow ===== | ||
| Line 183: | Line 183: | ||
| * Put the matrix names in '' | * Put the matrix names in '' | ||
| * '' | * '' | ||
| - | * < | + | * < |
| * Execute '' | * Execute '' | ||
| * < | * < | ||
| Line 344: | Line 344: | ||
| - | ===== Complex Matrix ===== | + | ===== The Complex Matrix ===== |
| It is possible to define, edit and carry out operations with matrices containing Complex Numbers. | It is possible to define, edit and carry out operations with matrices containing Complex Numbers. | ||
| Line 359: | Line 359: | ||
| '' | '' | ||
| - | Two rows and two columns containing complex numbers, so the definition/ | + | Two rows and two columns |
| The numbers are actually saved as if in a larger real matrix as | The numbers are actually saved as if in a larger real matrix as | ||
| Line 370: | Line 370: | ||
| '' | '' | ||
| - | The entry is via '' | + | The entry is via '' |
| * < | * < | ||
| * '' | * '' | ||
| * < | * < | ||
| - | * '' | + | * '' |
| - | * '' | + | * '' |
| - | * '' | + | * '' |
| - | * '' | + | * '' |
| - | * '' | + | * '' |
| - | * '' | + | * '' |
| - | * '' | + | * '' |
| - | * '' | + | * '' |
| ==== Multiplication of Complex Matrices ==== | ==== Multiplication of Complex Matrices ==== | ||
| - | Create a second matrix '' | + | === Create a second matrix |
| + | |||
| + | * Matrix | ||
| '' | '' | ||
| Line 393: | Line 395: | ||
| '' | '' | ||
| - | Dimension '' | + | === Dimension |
| + | |||
| + | This is dimensioned as double the basic size of '' | ||
| * < | * < | ||
| * '' | * '' | ||
| * < | * < | ||
| - | * '' | + | * '' |
| - | * '' | + | * '' |
| - | * '' | + | * '' |
| - | * '' | + | * '' |
| - | Create a result matrix ' | + | === Create a result matrix |
| + | |||
| + | Matrix | ||
| * < | * < | ||
| * '' | * '' | ||
| - | Multiply | + | === Multiply |
| - | * < | + | * < |
| * < | * < | ||
| - | Inspect Result Matrix C | + | === Inspect Result Matrix C === |
| * < | * < | ||
| Line 423: | Line 429: | ||
| * '' | * '' | ||
| - | The result matrix is | + | The result matrix is therefore |
| '' | '' | ||
| Line 429: | Line 435: | ||
| | -41+j82 | | | -41+j82 | | ||
| '' | '' | ||
| + | |||
| + | Which agrees with my long-hand calculation (thanks to [[41z_module|]] ) | ||
| + | |||
| + | |||
| + | '' | ||
| + | |(1+j2).(3+j4) + (5+j6).(2+j6)| | ||
| + | |(3+J4).(3+J4) + (7+J8).(2+J6)| | ||
| + | '' | ||
| + | |||
| + | '' | ||
| + | | (-5+j10) + (-26+j42) | | ||
| + | | (-7+j24) + (-34+j58) | | ||
| + | '' | ||
| + | |||
| + | '' | ||
| + | | -31+j52 | | ||
| + | | -41+j82 | | ||
| + | '' | ||
| + | ==== Systems of Complex Equations.... ==== | ||
| + | |||
| + | Once you can enter and manipulate Complex Matrices you can also use '' | ||
