Properties of Matrices
 A matrix is a rectangular array of values consisting of intersecting rows and columns.
 An uppercase variable is used to represent a unique matrix much like a lowercase variable represents a unique value.
 The dimensions of a matrix are stated as the number of rows by the number of columns.


Addition:
 Only matrices with equal dimensions can be added.
 The addition of matrices is commutative. A + B = B + A
 The addition of matrices is associative. (A + B) + C = A + (B + C)


Subtraction:
 Only matrices with equal dimensions can be subtracted.
 Subtraction of matrices is not commutative.
 If one looks at subtraction as the addition of a negative, then the equation is commutative.
 Subtraction of matrices is not associative.
 If one looks at subtraction as the addition of a negative, then the equation is associative.


Scalar Multiplication:
 A number that is multiplying the matrix is called a Scalar
 The multiplication of a matrix and a scalar is commutative.
 The multiplication of a matrix and a scalar is associative.
 If dividing by a value, multiply by the value's inverse.


