Quadratic Equations

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

4x² + 4y² = 36 is a circle because a=c. The a is 4 and the c is 4.

2x² + 4y = 3 is a parabola because a or c equals 0.

4x² - 4y² = 12 is a hyperbola because a and c have different signs.

4x² + 3y² = 25 is an ellipse because a is not equal to c, and the signs are the same.

Can you multiply these matrices?

In trying to determine if you can multiply a set of matrices, you would have to write a Dimensions Statement first.

2x2 times 2x2 = 2x2

Example :

2x2 times 2x2 = 2x2

If the numbers on both sides of the " times" word are equal, then you are able to multiply the matrices. The two outside numbers determines the size of your answer. Which in this equation it is "2x2."

If you are able to multiply the matrices, then you should multiply row by column and then add the sum of the products to get the answer.

Scalar Multiplication

Scalar multiplication is when you distribute the outside number to all the other numbers in the bracket.