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Ch4 Algebra 2
Matrices
Question | Answer |
---|---|
Matrix Addition | 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 elements in A and B. |
Scalar Multiplication | the product of a scalar k and a matrix A is the matrix kA in which each element is k times the corresponding element in A |
Matrix Multiplication | suppose A is an MxN matrix and B is and NxP matrix. Then the product AxB is the MxP matrix whose element in row I and column J of B |
Scale Change | For any nonzero numbers a and b the transformation that maps (x,y) onto (ax, by) |
Matrix Basis Theorem | Suppose T is a transformation represented by a 2x2 matrix if T: (1, 0) ---> (x1,y1) and T: (0,1)----> (x2,y2) then T has the matrix |
Perpendicular line theorem | if two lines have slopes m1 and m2 and m1m2 = -1 then the lines are perpendicular. |
the matrix of Sk | [K0]/[0K] |