What are applications for matrices?

Answer 1

Equations are an algebraic way of writing down a maths problem in shorthand.

Two or more simultaneous equations may be used to describe the same problem.

Matrices can be used to solve these simultaneous linear equations (that is equations with two or more unknown variables) and obtain the answer to those unknowns which satisfies both.

Equations are therefore generally solved to get values of unknown variables.......

Variable values are calculated (or assumed) to know all working or constant parameters of a system...

e.g. for a chemical reaction; generally pressure, temperature, concentration of reactant etc., may be combinations of unknown variables.

i.e. If these parameters are varied resultant yield get affected.........

We never know all properties at start, we first found relations between variables by doing practicals & form equations.........

Then these equations can be solved by many methods.......

Out of these many methods matrices is one......

So which ever system can be represented by equations, matrices have application there........

e.g. engineering problems, weather forecasting, aerospace design, financial calculations, chemical processes, construction calculations etc...........

And.....they were used by Albert Einstein to come up with his theories for General and Special Relativity.