1.) For  = (11.5, 7);  = {1 = (7.3, 6), 2 = (2.1, 2), 3 = (17.7, 14)}

a) Represent, if possible, the vector v as a linear combination of the vectors

of the set W.

b) Determine if the vectors in the set W generate the vector v.

c) Establish which vector space is generated by the vectors of the set W.

d) Check if the vectors of the set W are L.I., and if it forms a base of 3.

e) Indicate which of the three vectors i) (5, 3.0), ii) (8.4, 8) and iii) (2, 1.5) are generated by the set W.

Note: when obtaining the space generated by the vectors. It is expected to obtain the equation and report the generated space with set notation.

2.) Determine a Base and Dimension for the Solution Set of the System of Equations linear

\f