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| 0_-8_5|

|3_-7_4 |

|-1_5_-4|

| 1_-3_2|

a linearly independent set?

The answer at the back of the book say that it is independent, but obvious there are free variable in this matrix , thus imply a nontrival solution for AX=0, so it must be depend.

Let:

v( sub 1) =

|1 |

|-3|

|2 |

v( sub 2 ) =

|-3 |

|9 |

|-6 |

v( sub 3)

|5|

|-7|

|h |

for what value of h is v( sub 3) in Span{ V( sub 2), v( sub2)}?

for what of h is {v(s1), v(s2), v(s3) } linear independent?