Thursday, October 7, 2010

Indentify Quadratic Functions

Standard form: ax² + bx + cy² + dy + e= 0
If a=c, then the equation is a circle.If you have an equation like 5x² + 5y²=25 
If a or c, are different signs the equation is a hyperbola. Like this equation 2x² - 2y²= 6
If  a can NOT = c, and they are the same signs then the equation is an ellipse.  this equation would look like  4x² + 2y²= 25
If a or c= 0, then  the equation is a parabola. it would look something like this 2x² + 4y= 3.

Circle















Ellipses















Hyperbole















Parabola

Multiplying Matries

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.

Example;