Solve the following system of equations using the Gauss Elimination or Gauss Elimination with Row Pivoting Method. 1. 4x₁ + x₂ + 2x3 = 21 2x1 2x₂ + 2x3 8 x1 2x₂ + 4x3 = 16 - =

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Dimensional homogeneity

The term dimensional homogeneity means that in an equation, the dimensions of each term on both sides are equal, which means the dimensions of the left-hand side (LHS) of an equation are similar to the dimensions of the right-hand side (RHS). For a dimensionally homogeneous equation, the powers of fundamental dimensions will be identical on both sides of the equation.