Question

# 8. Let {x_{1}, x_{2}, x_{3}} ⊆ IR^{4} come from x_{1} = l 1 | ,

x_{2} = l 7 | , x_{3} = l 2 | .

| 4 | | 10 | l 1 |

| 2 | | -4 | l 5 |

|-3 | | -1 | l -14 |

__Determine if the given vector ____y____ is in span {x___{1}__, x___{2}__, x___{3}__}. If it is, write down and check the decomposition y = α___{1}__x___{1}__+α___{2}__x___{2}__+α___{3}__x___{3}__ . __

: {x__NOTE___{1}, x_{2}, x_{3}} and vector**y**are matrices 4x1, AND α = represents greek symbol alpha

a) y = l 6 |

l 15 |

l 3 |

l -18 |

(**Mostly need help** with the __ELIMINATION__ part of the question)