Quadratic Functions

How to identify quadratic functions:Standardform: ax² + bx + cy² + dy + e= 0

If you have an equation like 2x² + 2y²=18 The equation is a circle, because a=c

If a or c equals 0 the equation is a parabola (for example: 2x² + 4y= 3)

If a or c have different signs the equation is a hyperbola ( for example: 4x² - 4y²= 12)

If you have an equation like 5x² + 4y²= 20 the equations is an ellipse, because a is not equal to c and the signs are the same

Circle

P

Parabola

Hyperbola

Ellipse



Multiplying Matrices

You can only multiply two matrices together if the number of columns in the first matrix are the same as the number of rows in the second matrix. 


You can then write your dimension statement.


2(rows) x [3(columns) times 3(rows)] x 4(columns). The number of columns and the number of rows are the same so that means you are able to multiply these two matrices. After multiplying the rows by the columns you then take the sum of the products.