matrix A rectangular array of numbers linear equation in n (j) unknowns a₁x₁ + a₂x₂ + ... + ax = b linear equation x + 3y = 7 or x₁ − 2x₂ − 3x₃ + x₄ = -1 (no products or roots of variables) system of linear equations (linear system) A finite set of linear equations

matrix A rectangular array of numbers linear equation in n (j) unknowns a₁x₁ + a₂x₂ + ... + ax = b linear equation x + 3y = 7 or x₁ − 2x₂ − 3x₃ + x₄ = -1 (no products or roots of variables) system of linear equations (linear system) A finite set of linear equations solution of a linear equation A sequence of numbers for which the substitution with variables will make the equation a true statement homogeneous linear equations x₁ − 2x₂ − 3x₃ + x₄ = 0