Abstract Linear Algebra I
The Pythagorean Theorem is a fundamental principle in geometry that establishes a relationship between the lengths of the sides of a right triangle. It states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. This theorem is crucial for understanding concepts like orthogonality, as it provides a way to measure distances in Euclidean space and forms the basis for orthonormal bases.
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