Matrices Ch11&12

Matrices and their applications

Matrix online calculator

Overview of Matrices

Define a Matrix

columns by row (down by across)
Example: 3x2 matrix has 3 columns and 2 rows

Representing data in a matrix

Scalar Multiplication

Multiply the number in front of matrix by each number inside the matrix.

Addition and Subtraction of Matrices

You can only add or subtract matrices that are the same dimensions. (For example a 3x2 and 3x2)

Transpose a Matrix

If you transpose a matrix you switch the rows with the columns
Example: A 3x2 changes to a 2x3 matrix

Multiplication of Matrices

You can only multiply matrix by another that has the same number of columns as rows.

Example: A 2x3 matrix can be multiplied with a 3x4 matrix

Defined and undefined Matrices

Commutative Law for Matrices AB=BA

Identity Matrix

A matrix that has 1s diagonally down the center and that rest of numbers zero in matrix.

Determinant

Inverse Matrix

Application - Solving Simulataneous Equations with Matrics