| A | B |
| matrix | rectangular arrangement of objects |
| element of a matrix | each object in the arrangement of matrices |
| dimensions of m*n | a matriz with m rows and n columns |
| row | a horizontal list in a table rectangular array or spreadsheet |
| column | a verticle list in a table rectangular array or spreadsheet |
| equal matrices | two matricies that have the same dimensions and their corresponding elements are equal |
| point matrix | a 2* 1 matrix |
| matrix addition | if two matrices A and B have the same dimensions their sums A + B is the matriz in which each element is the sum of the corresponding elements in A and B |
| sum of matrices | matrix addition |
| difference of matrices | two matrices A and B with the same dimensions, their difference A-B is the matriz whose element in each position is teh difference of the corresponding elements in A and B |
| scalar multiplicatoins | the product of a scalar k and matriz A is the matriz kA in which each element is k times the corresponding element A |
| matrix multiplication headings | the product of two matrices A and B exists only when the number of columns of A equals the number of rows of B so if A is m *n B must be N * P in order ofr AB to exist |
| transformation | one to one correspondence between the points of a preimage and the points of an image |
| 2*2 identity matriz | the matrix (1,0) (0,1) |
| size change | the transformation tha tmaps (x, y) onto (kx, ky) |
| preimage | the image before the size change |
| image | the object after the size change |
| magnitude of size change | k:the number that the x and y coordinates are multiplied or divided by in order to get the size change |
| ratio of similitude | in two similar figures the ratio between a lenghth in one figure and the corresponding length in the other |
| center | (0,0) |
| similar | when one figure is basicly the same as another except one has gone through changes |
| identiy transformaiton | the transformation that maps each point (x,y) onto itself |