Subject: Mathematics
Book: Maths Mastery
Matrix multiplication is defined by taking the dot product of rows of the first matrix with columns of the second. For a 2×2 example, if A=[[a,b],[c,d]] and B=[[e,f],[g,h]], then A×B=[[ae+bg, af+bh],[ce+dg, cf+dh]]. The process generalizes to larger dimensions where inner dimensions must match. Matrix multiplication underlies transformations in 2D/3D graphics, network flows, Markov chains, or advanced linear systems. Gaining fluency is a key step in linear algebra, enabling big leaps in data analysis and computational problem-solving.
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