# 1.1 - Section 1.1 Introduction Linear Equation a1 x1 a2 x2...

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Section 1.1 Introduction Linear Equation General form is 11 2 2 33 ... nn ax b ++ + + = where the a i 's are constant, x i 's are variables and b is a constant. In short, a linear equation contains no products of variables, no functions of variables and no powers of variables (other than the first power)

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Examples: Is the equation Linear or Nonlinear? (A) 3sin 2 5 xy z +− = (B) 12 23 6 0 xx −+ = (C) () 2 2 1 1 2s i n 3 0 4 x x π ++ = (D) 2 30 x += (E) 3 1 cos 3 34 x  −− =   (F) 2 6 xyz A System of Linear Equations contains one or more linear equations.
A system of equations is square if the number of variables equals the number of equations. A system that is not square is called rectangular . Example: The following system is square because there are two equations and two variables. It is called a 2 X 2 system. 12 25 34 5 xx += −= The above system has a solution,

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1.1 - Section 1.1 Introduction Linear Equation a1 x1 a2 x2...

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