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ch4-4,4 math

AB
matrixrectangular arrangement of objects
element of a matrixeach object in the arrangement of matrices
dimensions of m*na matriz with m rows and n columns
rowa horizontal list in a table rectangular array or spreadsheet
columna verticle list in a table rectangular array or spreadsheet
equal matricestwo matricies that have the same dimensions and their corresponding elements are equal
point matrixa 2* 1 matrix
matrix additionif 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 matricesmatrix addition
difference of matricestwo 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 multiplicatoinsthe 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 headingsthe 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
transformationone to one correspondence between the points of a preimage and the points of an image
2*2 identity matrizthe matrix (1,0) (0,1)
size change the transformation tha tmaps (x, y) onto (kx, ky)
preimagethe image before the size change
imagethe object after the size change
magnitude of size changek:the number that the x and y coordinates are multiplied or divided by in order to get the size change
ratio of similitudein two similar figures the ratio between a lenghth in one figure and the corresponding length in the other
center(0,0)
similarwhen one figure is basicly the same as another except one has gone through changes
identiy transformaitonthe transformation that maps each point (x,y) onto itself


brooke

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