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mathswithmuza on Instagram: "A shear transform is a type of linear transformation that slants the shape of an object along a given axis, while preserving its area (in 2D) or volume (in 3D). Unlike scaling, which changes the size, or rotation, which changes the orientation, a shear shifts points in a direction proportional to their distance from a fixed line or plane. For example, in two dimensions, a horizontal shear slides every point horizontally by an amount proportional to its vertical coord
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Matrix transformations are a fundamental concept in linear algebra, used to describe how shapes, vectors, and spaces are mapped or transformed through multiplication by a matrix. When a vector is multiplied by a matrix, the result is often a new vector in a different direction or scale. These transformations can include rotations, reflections, scaling, shearing, or combinations of these. In two or three dimensions, we can visualize how an original shape, like a square or cube, is stretched or sq
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