## An introduction to sets, groups, and matices |

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A U B a(bc ab)c adjugate matrix algebra of sets anti-clockwise rotation arxb associative law binary operation brand brand X cofactor corresponding elements defined Defn determinant distributes EXERCISES 1.3 following sets group G i.e. a matrix idempotent identity element inverse inverse matrix Law 10b Law 3a Let x e m x n matrix mathematicians who speak matrix addition matrix given matrix multiplication matrix of order non-singular matrix null matrix null set number of columns number of elements number of rows operation of addition operation of matrix operation of multiplication ordinary algebra parallel lines positive integers prime number proper subset rational numbers real numbers region marked rotation in space rotation M acting scalar set of elements Show that ABC Simplify singular matrix skew-symmetric matrix speaking mathematicians subtraction symmetric matrix Transpose unique unit element unit matrix universal set Verify worn