Sunday, December 4, 2011

Matrices :)

Matrices-adding and subtracting

A^t (transpose) means switching rows and columns.
To add matrices they must have the same dimensions.(rows X columns)
To add matrices you will add corresponding entries.

Ex.1:
Find dimensions by counting how many rows there are and how many columns:
[145]
[783]
2X3

Ex.2:
Find the dimensions of D:
There are three rows and also three columns therefore the dimensions would be three by three.
[0 9 -3]
[7 -4 8]
[11 2 3]
3X3

Ex.3:
To do this you will subtract all the numbers of Matrice A to Matrice B and you will then get a new matrice.
Find A-B
A=[0 9 -3] [7 5 4]
[7 -4 8] - [2 1 8] = [7 4 -7]
[5-5 0]

Ex.4:
To find this you will add the numbers from matrice A to matrice B and you will get a new matrice.
Find A+B:

A=[0 9 -3] [7 5 4] = [7 14 1]
[7 -4 8] + [2 1 8] [9 -3 16]

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