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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] |

Created by:
victoriapugsley