Thursday

September 18, 2014

September 18, 2014

Posted by **chris** on Thursday, July 19, 2007 at 2:02pm.

a.){(1, -1, 2), (0, 1, 1)}

b.) {1, 2, -1), (6, ,3, 0), (4, -1, 2), (2, -5, 4)}

c.) {(2, 2, 3), (-1, -2, 1), (0, 1, 0)}

d.) {(1, 0, 0), (0, 1, 0), (0, 0, 1), (1, 1, 1)}

can someone show the steps to check for one of them and i will try to do the rest.

Put the vectors as rows or columns in a matrix and do Gaussian Elimination (note that row rank = column rank).

You don't have to do this for a) because you can't span R^3 with two vectors. Also, it is clear that the vectors listed in d) span R^3

In case of b) after Gaussian Elimination, you should find that the rank of the matrix is 2. This means that te four vectors span a two dimensional subspace of R^3 (the reduced matrix indicates exactly what subpace)

In case of c) you should find that the rank is 3, so the three listed vectors span R^3.

- linear algebra -
**kyle**, Wednesday, November 14, 2007 at 8:41pmi need help

**Answer this Question**

**Related Questions**

Calculus - Name two sets of vectors that could be used to span a set in R^3. ...

linear algebra - Determine whether {v1, v2, v3} is a basis for R3 v1 = [1] [-3...

Span linear - hello everyone!i'm breaking my head and desperate how to do it... ...

Linear Algebra - Let v1= (1,1,2,1) v2= (0,1,3,3) v3= (1,-1,-4,-5) v4= (1,0,-2,-4...

college Algebra/Linear Algebra - Find a Basis for each of these substances of R^...

Linear Algebra - Hello ! i try to solve Linear algebra 2 questions(but need them...

Calculus - 1. Which of the following sets of vectors spans [r^2] ? a) {(1,1), (-...

Linear algebra - Use the properties of linear operations with vectors to show ...

Math - Algebraic Vectors - Given the vectors: u = [3, 0] v = [-1, 2] a) Express ...

Linear Algebra - Vector in Space-Directions and Magnitudes Let a, b, c, d, e, & ...