2023-01-15 21:00:04 -05:00
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current version's usage example (only the first line is user-input):
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```
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2023-05-11 10:39:15 -04:00
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User input: [[3 1 1 2] [1 -2 1 4] [-1 1 0 4]]
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┏ ┓
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┃ 3 1 1 │ 2 ┃
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┃ 1 -2 1 │ 4 ┃
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┃ -1 1 0 │ 4 ┃
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┗ ┛
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1/3R₀
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┏ ┓
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┃ 1 1/3 1/3 │ 2/3 ┃
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┃ 1 -2 1 │ 4 ┃
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┃ -1 1 0 │ 4 ┃
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┗ ┛
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-1R₀ + R₁
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┏ ┓
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┃ 1 1/3 1/3 │ 2/3 ┃
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┃ 0 -7/3 2/3 │ 10/3 ┃
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┃ -1 1 0 │ 4 ┃
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┗ ┛
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R₀ + R₂
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┏ ┓
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┃ 1 1/3 1/3 │ 2/3 ┃
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┃ 0 -7/3 2/3 │ 10/3 ┃
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┃ 0 4/3 1/3 │ 14/3 ┃
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┗ ┛
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-3/7R₁
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┏ ┓
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┃ 1 1/3 1/3 │ 2/3 ┃
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┃ 0 1 -2/7 │ -10/7 ┃
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┃ 0 4/3 1/3 │ 14/3 ┃
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┗ ┛
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-4/3R₁ + R₂
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┏ ┓
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┃ 1 1/3 1/3 │ 2/3 ┃
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┃ 0 1 -2/7 │ -10/7 ┃
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┃ 0 0 5/7 │ 46/7 ┃
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┗ ┛
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7/5R₂
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┏ ┓
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┃ 1 1/3 1/3 │ 2/3 ┃
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┃ 0 1 -2/7 │ -10/7 ┃
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┃ 0 0 1 │ 46/5 ┃
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┗ ┛
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-1/3R₂ + R₀
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┏ ┓
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┃ 1 1/3 0 │ -12/5 ┃
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┃ 0 1 -2/7 │ -10/7 ┃
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┃ 0 0 1 │ 46/5 ┃
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┗ ┛
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2/7R₂ + R₁
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┏ ┓
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┃ 1 1/3 0 │ -12/5 ┃
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┃ 0 1 0 │ 6/5 ┃
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┃ 0 0 1 │ 46/5 ┃
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┗ ┛
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-1/3R₁ + R₀
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┏ ┓
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┃ 1 0 0 │ -14/5 ┃
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┃ 0 1 0 │ 6/5 ┃
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┃ 0 0 1 │ 46/5 ┃
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┗ ┛
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x = -14/5
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y = 6/5
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z = 46/5
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2023-01-15 21:00:04 -05:00
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```
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OLD \*actual\* usage example:
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2023-01-13 14:07:38 -05:00
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```
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matrix.core=> (matrix-repl [[1 1 -1 -5] [5 -1 1 -1] [-1 3 -2 1]] :yeah)
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┏ ┓
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┃ 1 1 -1 │ -5 ┃
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┃ 5 -1 1 │ -1 ┃
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┃ -1 3 -2 │ 1 ┃
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┗ ┛
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(add-mul 5 2 1)
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┏ ┓
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┃ 1 1 -1 │ -5 ┃
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┃ 0 14 -9 │ 4 ┃
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┃ -1 3 -2 │ 1 ┃
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┗ ┛
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(add 0 2)
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┏ ┓
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┃ 1 1 -1 │ -5 ┃
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┃ 0 14 -9 │ 4 ┃
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┃ 0 4 -3 │ -4 ┃
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┗ ┛
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(add-mul -4/14 1 2)
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┏ ┓
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┃ 1 1 -1 │ -5 ┃
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┃ 0 14 -9 │ 4 ┃
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┃ 0 0 -3/7 │ -36/7 ┃
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┗ ┛
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(mul 7 2)
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┏ ┓
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┃ 1 1 -1 │ -5 ┃
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┃ 0 14 -9 │ 4 ┃
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┃ 0 0 -3 │ -36 ┃
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┗ ┛
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(mul -1/3 2)
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┏ ┓
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┃ 1 1 -1 │ -5 ┃
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┃ 0 14 -9 │ 4 ┃
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┃ 0 0 1 │ 12 ┃
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┗ ┛
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(add-mul 9 2 1)
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┏ ┓
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┃ 1 1 -1 │ -5 ┃
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┃ 0 14 0 │ 112 ┃
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┃ 0 0 1 │ 12 ┃
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┗ ┛
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(mul 1/14 1)
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┏ ┓
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┃ 1 1 -1 │ -5 ┃
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┃ 0 1 0 │ 8 ┃
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┃ 0 0 1 │ 12 ┃
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┗ ┛
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(add 2 0)
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┏ ┓
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┃ 1 1 0 │ 7 ┃
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┃ 0 1 0 │ 8 ┃
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┃ 0 0 1 │ 12 ┃
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┗ ┛
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(add-mul -1 1 0)
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┏ ┓
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┃ 1 0 0 │ -1 ┃
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┃ 0 1 0 │ 8 ┃
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┃ 0 0 1 │ 12 ┃
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┗ ┛
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print-equations
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x = -1
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y = 8
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z = 12
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┏ ┓
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┃ 1 0 0 │ -1 ┃
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┃ 0 1 0 │ 8 ┃
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┃ 0 0 1 │ 12 ┃
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┗ ┛
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