The field of use of matrices is
wide.
Math is one field where matrices are very useful. For
instance, matrices are very useful in solving linear systems, whose number of equations
and variables is large. The elements located on the rows of the matrices represents the
coefficients of the variables involved in the equations of the system. The number of
rows of a matrix is equal to the number of equations and the number of columns of a
matrix tells us how many variables are involved in the equations of the system. We
usually start to solve systems that involves two equations and two variables. If the
equations of the system are more than two and if the number of variables is larger than
two, we'll need to use matrices to solve the system, if it's
possible.
We can also use matrices to represent complex
numbers.
The matrices are useful in engineering (finite
element method, mesh analysis), architecture, geology and
statistics.
The bidimensional image we can see on the
computer screen is the projection of a tri-dimensional image and this projection is
possible due to matrices.
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