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#### kanderson

##### Member

- Jul 7, 2012

- 13

Ok give me a break, this is my first lesson in my new linear algebra book. Seems fairly straightforward but a little befuddled as to whether I am doing this. The question states "Describe geometrically (line, plane, or all of R^3) all linear combinations of...."

Then I have a matrix v = [1 2 3] w = [3 6 9]...... I do this.

cv-dw [-2 -4 -6] I believe it is R^3

v+w [4 8 11] Also R^3

If you could offer if I am still befuddled, [1 0 0] and [0 2 3]

forgot my proof....cv + dw = c[1 1 0]+d[0 1 1] it turns out as cv+dw = [c c+d d]

Need to start learning latex -.-

(Maybe I can get ahead of Jameson and his linear algebra *snickers*)

Then I have a matrix v = [1 2 3] w = [3 6 9]...... I do this.

cv-dw [-2 -4 -6] I believe it is R^3

v+w [4 8 11] Also R^3

If you could offer if I am still befuddled, [1 0 0] and [0 2 3]

forgot my proof....cv + dw = c[1 1 0]+d[0 1 1] it turns out as cv+dw = [c c+d d]

Need to start learning latex -.-

(Maybe I can get ahead of Jameson and his linear algebra *snickers*)

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