Answer to Question #82533 in Linear Algebra for MARK ANDREWS

Question

a.find a basis for the span of the following set of vectors
|1 | |-4 | |1 | |5| |2| | -1| |11|
|3 | |-12| |-4| |8| |11| | -7| | 52 |
|-1| | 4 | |-5| |-17| |-21| |19| | -80|
|2| |-8| |4| |16| |17| | -3| | 82|

b. find the coordinate vector [x]B for the vector(see below) using the basis from a above
|-8|
|-58|
|151|
|-58|