Question

1. Describe what it means for a vector->c to be a linear combination of twovectors ->a and~>b. Sketch the collection of vectors whichare linear combinations of the two vectors[1;0;1] and [1;1;0]in R3 (i.e., sketch the Span ofthese vectors in R3). Sketch thecollection of vectors which are linear combinations of the twovectors [1; 2] and[2; 4] in R2(i.e., sketch the Span of these vectors inR2). Sketch the Span of the vectors[1;2] and [2;4]in R2. Sketch the span ofthe vectors [1;2] and[2;4] in R2. Sketchthe span of the vectors [1;0] and[0;1] in R2. Is thereany vector which is in this last Span which is not in the second tolast Span?