3d+Basic+Matrix+Operations

A //__matrix__// is a rectangular arrangement of numbers in rows and columns. The //__dimensions__// of a matrix with //r// rows and //c// columns are //r// x //c//. So the dimension of the matrix below, matrix X, are 4 x 3, or 4 by 3. Ex.)

Example problem 1.) 3 x 3 matrices:

[3 2 5]..[4 3 5]....[ 7 5 10] [2 1 4]+[5 5 5] = [ 7 6 9] [5 6 2]..[6 7 8]....[11 13 10]

Example 2.) 2 x 3 matrices:

[5 4 5]...[3 2 5]....[2 2 0] [6 7 8] - [5 5 5] = [1 2 3]

//Inverse Matrices:// To find the inverse of a matrix, you simply multiply the each individual value within the matrix by -1.

Example 1.) .....[4 5 -6] X= [2 -2 3] Inverse of X: [-4 -5 6] [-2 2 -3]

Example 2.) .....[-1 0 -5] A= [-2 3 -4] Inverse of A: [1 0 5] [2 -3 4]

For additional help and practice visit: http://www.purplemath.com/modules/matrices.htm http://www.purplemath.com/modules/mtrxadd.htm http://www.purplemath.com/modules/mtrxinvr.htm http://www.classzone.com/cz/books/algebra_2_2007_na/resources/htmls/ml_hsm_alg2_eWorkbook/index.html ---J Choi---