Wednesday, October 13, 2010

Scalar Multiplication / Multiplying Matrices (:


Scalar Multiplication


[ 2   3   5  ] + [ 7  5  9  ] = [ 9  8  14  ]


> Scalar Multiplication is the process of taking the outside number of
matrices and distributing that number to ALL the numbers in the bracket.
.. As shown above.



Multiplying Matrices






In multiplying matrices, the first thing to observe is rows and columns.
The rows and columns of a matrix can tell you whether or not the matrix
can be multiplied. A dimension statement shows that the columns of the first
matrix match up to the rows of the second matrix.

2 X 2 times 2 X 2
- the 2's being the same on the inside indicate that the matrix CAN be multiplied.

Multiplying The Matrix . . .

Procedure: Multiply the first number in the first row by the first number in the
first column of the second matrix. Add the products together and repeat this
procedure until you have multiplied all the numbers in the matrices, thus giving
you the product of your matrices.


Sunday, October 3, 2010

Determine If A Quadratic Equation Is A Circle, Parabola, Hyperbola or Ellipse (:

4x² +4y² =36

Terms A & C [4] are the same, therefore
making the equation a circle.

The Rule - "If A=C, then the equation is a Circle.

2x² + 4y=3

Equation that is missing X or Y² is a Parabola
 4x² - 4y² = 12

If A or C are different signs, the equation is a Hyperbola

4x² + 3y² = 25

If A does not equal C, and they are the same sign, then the equation is a Ellipse