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Algebra II Ch 4
| Question | Answer |
|---|---|
| Matrix-a rectangular arrangemant of objects. Dimensions- m x(by) n. Equal Matrices- if and only if they have the same dimensions and their correspoonding elements are equal. Point Matrix- a 2 x 1 marix is called a Point Matrix. | Rotation- a transformation with a center O under which the image O is O itself and the image of any other pointP is the point P' such that m,POP' is a fixed number (its magnitude). |
| Definition-- if two matrices A and B have the same dimensions, their sum A+B is the Matrix in which each element is the sum of the corresponding elemts in A and B. | Theorem-- if two line with slopes m1 and m2 are perpendicualr, then m1m2=- Theorem-- if two lines have slopes m1 and m2 and m1m2=-1, then the lines are perpendicular. |
| Definition-- the product of a scalar k and a matrix kA in which each element is k times the correspoding element in A. | Theorem-- under a translation, a line is parrel to its image. |
| Definition of Matrix Multipication- Suppose A is an m x n matrix and B is a n x p matrix. then the product A*B is the m x p matrix whose element in row i and column j is the product of row i of A and column j of B. | |
| Transformation- is a one to one correspondence of between sets of points. Preimage- Figure I in a transformation. Image- Figure II in a transformation. | |
| Line of Reflection/Reflecting Line- the line over which a figure is reflected. | |
| Definition-- suppose transformation T1 maps figure F', and transformation t2 figure F' onto figure F". The transformation that maps F onto F" is called the "Composite" of T1 and T2, written T2oT1. |
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adamscott101
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