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linear transformation |
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linear transformationIn mathematics, a rule for changing one geometric figure (or matrix or vector) into another using a formula with a specified format. The format must be a linear combination, in which the original components (e.g., the x and y coordinates of each point of the original figure) are changed via the formula ax + by to produce the coordinates of the transformed figure. Examples include flipping the figure over the x or y axis, stretching or compressing it, and rotating it. Every such transformation has an inverse, which undoes its effect.
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| The book provides guidance not only on systems of linear equations and matrix algebra but also on the often-harder-to-grasp topics of vector spaces, linear transformations, determinants, and eigenvector problems. Application: Linear transformation simplifies data analysis. |
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linear transformation