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# Algebra 2 Ch. 4

### Ch. 4

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 |

Matrix Multiplication | If A is an m x n matrix and B is an 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 |

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. |

Transformation | A transformation is a one-to-one correspondence between the points of a preimage and the points of an image. |

Identity transformation | The transformation that maps each point (x,y) onto itself |

Matrix Dimensions | In general a matrix with m rows and n columns has dimensions m x n |

Point Matrix | |x| |y| This is a 2 x 1 matrix called a point matrix. The first row is the x coordinate and the y is the second. |

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Nickp2396