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Multiplications of any dimension\n- Addition\n- Subtraction\n- Power\n- Transposition\n- Exclude / Minor\n- Determinants\n- Inverse\n\nSuppose we have some arbitrary matrices:\n```typescript\nexport const m2x2_1 = [\n    [4, 7],\n    [0, -4]\n]\nexport const m2x2_2 = [\n    [1, -5],\n    [2, 4]\n]\n\nexport const m3x3_1 = [\n    [4, 7, 2],\n    [0, -4, 1],\n    [9, -3, 5]\n]\nexport const m3x3_2 = [\n    [1, -5, 2],\n    [2, 4, -1],\n    [4, 3, 9]\n]\nexport const m4x4_1 = [\n    [1, -5, 2, 5],\n    [2, 4, -1, 2],\n    [4, 3, 9, 1],\n    [1, 2, 3, 4]\n]\n```\n1. **Equality**\n\n    ```typescript\n    return Matrix.equal(m3x3_1, m3x3_1);\n    // Result: true\n    ```\n\n2. **Unit/Identity matrices**\n\n    - Unit 2x2\n    ```typescript\n    Matrix.getUnit2x2();\n    // Result:\n    <!-- [\n        [1, 0],\n        [0, 1]\n    ] -->\n    ```\n    - Unit 3x3\n    ```typescript\n    Matrix.getUnit3x3();\n    // Result:\n    <!-- [\n        [1, 0, 0],\n        [0, 1, 0],\n        [0, 0, 1]\n    ] -->\n    ```\n    - Arbitrary unit matrix\n    ```typescript\n    Matrix.getUnit(4);\n    // Result:\n    <!-- [\n        [1, 0, 0, 0],\n        [0, 1, 0, 0],\n        [0, 0, 1, 0]\n        [0, 0, 0, 1]\n    ] -->\n    ```\n\n3. **Multiplication**\n\n    - To number\n    ```typescript\n    Matrix.mulToN(m3x3_1, 2);\n    // Result:\n    <!-- [\n        [8, 14, 4],\n        [0, -8, 2],\n        [18, -6, 10]\n    ] -->\n    ```\n    - Multiplication\n    ```typescript\n    Matrix.mul(m3x3_1, m3x3_2);\n    // Result:\n    <!-- [\n        [4, 14, 8],\n        [-0, -16, 3],\n        [18, 3, 45]\n    ] -->\n    ```\n    - Multiplication 2x2\n    ```typescript\n    Matrix.mul2x2(m2x2_1, m2x2_2);\n    // Result:\n    <!-- [\n        [4, 14],\n        [-0, -16]\n    ] -->\n    ```\n    - Multiplication 3x3\n    ```typescript\n    Matrix.mul3x3(m3x3_1, m3x3_2);\n    // Result:\n    <!-- [\n        [4, 14, 8],\n        [-0, -16, 3],\n        [18, 3, 45]\n    ] -->\n    ```\n    - Multiplication 3x3 to vector\n    ```typescript\n    Matrix.mul3x1(m3x3_1, v);\n    // Result:\n    [[65, 12, 22]]\n    ```\n\n4. **Addition**\n\n    ```typescript\n    Matrix.add(m2x2_1, m2x2_2);\n    // Result:\n    <!-- [\n        [5, 2],\n        [2, 0]\n    ] -->\n    ```\n\n5. **Subtraction**\n\n    ```typescript\n    Matrix.sub(m2x2_1, m2x2_2);\n    // Result:\n    <!-- [\n        [3, 12],\n        [-2, -8]\n    ] -->\n    ```\n\n6. **Power**\n\n    ```typescript\n    Matrix.power(m2x2_1, 2);\n    // Result:\n    <!-- [\n        [16, 49],\n        [0, 16]\n    ] -->\n    ```\n\n7. **Transposition**\n\n    ```typescript\n    Matrix.trans(m3x2_1);\n    // Result:\n    <!-- [\n        [1, 2],\n        [-5, 4],\n        [2, -1]\n    ] -->\n    ```\n\n8. **Exclude**\n    ```typescript\n    Matrix.exclude(m4x4_1, 2, 2);\n    // Result: \n    [\n        [1, 2, 5]\n        [4, 9, 1]\n        [1, 3, 4]\n    ]\n    ```\n\n9. **Determinants**\n\n    - Determinant 2x2\n\n    ```typescript\n    Matrix.determ2x2(m2x2_1);\n    // Result: -16\n    ```\n\n    - Determinant 3x3\n\n    ```typescript\n    Matrix.determ3x3(m3x3_1);\n    // Result: 67\n    ```\n    \n    - Determinant 4x4\n\n    ```typescript\n    Matrix.determ4x4(m4x4_1);\n    // Result: 674\n    ```\n10. **Inverse**\n    - Inverse 2x2\n    ```typescript\n    Matrix.inverse2x2(m2x2_1);\n    // Result:\n    <!-- [\n       [0.25, 0.4375],\n       [0,\t-0.25],\n    ] -->\n    ```\n\n\n    - Inverse 3x3\n    ```typescript\n    Matrix.inverse3x3(m3x3_1);\n    // Result:\n    <!-- [\n        [-0.2537313401699066, -0.611940324306488, 0.2238806039094925],\n        [0.13432836532592773, 0.02985074557363987, -0.05970149114727974],\n        [0.5373134613037109, 1.1194030046463013, -0.23880596458911896]\n    ] -->\n    ```\n\n","readmeFilename":"README.md"}