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Definition Equality and Addition of Matrices
What Matrices Are
Equality of Matrices Specification of Matrices The Zero Matrix
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A]ij addition and subtraction atomic physics cap product circle product commutative law complex numbers compute coordinates corresponding entry cross product defined DEFINITION Let different from zero directed line segment directed segment PQ eigenvalue entry zero equation A2 expression following definition following theorem formula geometric theorems give Hence inequality ith row jth column kinds of numbers law of exponents least equation satisfied Let the directed linear equations mathematical induction matrix A satisfies matrix algebra Matrix Multiplication nonzero vector notation numerical coefficients ordinary algebra plane polynomial equation PQ and PR preceding section preceding theorem proof proves the following real numbers represents the vector rhombus row and jth satisfies the equation Show simply skew matrix solution Solve the equation square root Suppose system of equations terms in unknowns THEOREM Let theorem of Section three-dimensional space U A V unit matrix vector algebra write zero matrix