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What is the definition of a matrix?

An m x n matrix is a rectangular array of numbers with m rows and n columns

What do we mean when we say that the matrix has dimension m x n ?

The numbers a₂₂ are the entries of the matrix. The subscript on the entry indicates the row and column.

What is the augmented matrix?

The coefficients and constants that appear in a system of linear equations.

What is a leading entry?

The first nonzero number in a matrix

What is a coefficient Matrix?

A coefficient matrix is simply a matrix of the coefficients of a system of equations