Question

Why do we need matrices?

Answer 1

This is a squarematrix because the number of rows equals the number of columns. We can only addmatrices of the same dimensions, because we add the corresponding elements. . Matrixmultiplication is another matter entirely.

Answer 2

you can solve 12 equations, or you can solve one matrix equation.

scalar, vector, matrix

You could keep track of details and work with scalars. Once a year, you would solve a set of equations, instead of once a day.

With these we can write theorems and equations that generalize to any rule or any quantity of values.

Another nice reason is that matrices are cpu/gpu friendly; computers take advantage of matrices to speed up processing their expressions.

They save space while conveying the same information.

It's a form that's easily input to computers.



THANKS...