Chapter 8: Solution of Simultaneous Linear Equations

Solution of Simultaneous Linear Equations

System of Simultaneous Linear Equations

Consider the following system of n linear equations in n unknowns:

a₁₁ x₁ + a₁₂ x₂ +.........+ a_1n x_n = d₁

a₂₁ x₁ + a₂₂ x₂ +.........+ a_2n x_n = d₂        .                              .   .

a_n1 x₁ + a_n2 x₂ +.........+ a_nn x_n = d_n

This system of equation can be written in the matrix form as

or AX = D.

The n × n matrix A is called the coefficient matrix of the system of linear equations.

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