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.


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