Question

Calcule os determinantes:

A) | 4 - 15 |
=
| 7 22 |


B) | 4 - 1 |
=
| -5 2 |

C) | 1 0 1 |
| 5 2 8 | =
| 1 -3 0 |

D) |1 2 1 |
| 1 2 5| =
| 1 -1 0 |

Answer 1

a) 4·22 - [7·(-15)] = 88-[-105] = 88+105 = 193

b) 4·2 - (-5)·(-1) = 8-5 = 3

c) 1·2·0 + 1·8·1 + 1·5·(-3) - [1·2·1 + 0·5·0 + 1·8·(-3)] = 0+8-15 - [2+0-24] = -7-[-22] = -7+22 = 15

d) 1·2·0 + 2·5·1 + 1·1·(-1) - [1·2·1 + 2·1·0 + 1·5·(-1)] = 0+10-1 - [2+0-5] = 9-[-3] = 9+3 =12