Linear Algebra
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Suma summarum of linear algebra
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Linear algebra and maths of quantum mechanics
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Linear algebra for ML
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How linear algebra powers AI, physics, and cryptography
When most people hear the term linear algebra, they imagine rows of numbers in matrices or tedious exercises with vectors. Yet, far from being an isolated branch of mathematics, linear algebra is the hidden architecture of modern science and technology. It is the language that allows people to describe relationships, transformations, and patterns in systems…
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Orthogonal and Orthonormal vectors
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Understanding orthogonality: the geometry of independence
Mathematics often hides its most beautiful ideas behind heavy words. Orthogonality sounds intimidating, but it’s really about something familiar: things being “at right angles.” Beneath that simple picture lies a geometry that explains how you can project, optimise, and even clean up noisy signals. Right angles in disguise When you think of orthogonality, imagine two…
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How to calculate eigenvectors?
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Understanding eigenvectors and eigenvalues
At first glance, words like eigenvector and eigenvalue look like they belong in some obscure math museum. But behind the heavy names are surprisingly simple ideas. They’re not about memorising formulas. They’re about uncovering the hidden rules that shape change: in geometry, in data, and even across the internet. Impact-Site-Verification: bc51445e-155a-462e-ac33-1e505feb70af Rubber sheets and secret…
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Inverse of a matrix
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The power of the inverse
