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An algebraic equation of first degree or in which each term has an exponent equal to one.

When graphing, it results in a straight line.

This method has the advantage of leading directly to the matrix concept in reduced echelon form.

A rectangular array of numbers

As for system of linear equations, there can be

Letters m and n stand for?

An array of numbers having the same number of columns and rows, I.e. m = n.

A square for which every term off the main diagonal is zero.

A diagonal matrix for which all terms on the main diagonal are equal.

Matrices having the corresponding elements equal.

Is a matrix having zero entries

Is a square matrix whose elements in the main diagonal are all on and for which every term off the main diagonal is zero.

Consists of the coefficients of a linear equation.

A matrix in which all the entries are constants.

Is a matrix where constant is adjoining to the coefficient matrix (combination of coefficient matrix and matrix constant)

Two or more matrices cannot be added and subtracted provided that those matrices have the same number of rows and the same number of columns

The product of the two matrices is possible if and only if the number of columns of the first matrix is exactly the same as the number of rows of the second

In symbol, the transpose of A is TA.

MATRICES OPERATION: only matrices of the same size

MATRICES OPERATION: the number of columns of the first matrix is exactly the same as the number of rows of the second. I.e. 2 x 3 & 3 x 3.

MATRICES OPERATION: obtained by multiplying each element of A by r.

MATRICES OPERATION: interchanging rows and columns of A

Rules that guide us on what to do and what not to do when working with matrices

How many algebraic properties of matrix operation are there?

What are the algebraic properties of matrix operation?

A special method that involves systematically eliminating variables from equations.

A system of linear equations where all the constant terms are zeros.

If there exists a matrix A-1 , then A is called...

If there exists no such matrix A-1 , then A is called...