# Math

If S is the subspace of R^3 containing only the zero vector, what is S perp ? If S is spanned by ( 1 , 1, 1), what is S perp? If S is spanned by ( 2, 0, 0) and ( 0, 0, 3), what is S perp?

1. 👍 0
2. 👎 0
3. 👁 135

## Similar Questions

1. ### Algebra

How would you prove this theorem: The column space of an m x n matrix A is a subspace of R^m by using this definition: A subspace of a vector space V is a subset H of V that has three properties: a) the zero vector of V is in H.

asked by Min on June 19, 2007
2. ### Math Elementary Linear Algebra

determine whether or not the given set forms a basis for the indicated subspace: #1 {1,1,0), (1,1,1)} for the subspace of R^3 of all (x,y,z) such that y= x+z #2 {[1,2,-1,3), (0,0,0,0)} for the subspace of R^4 of all vectors of the

asked by Anna on November 16, 2014
3. ### Math

Let V and W be vector spaces and assume that T be a linear mapping from V to W. (a) Show that ker(T) is a subspace of V . (b) Show that range(T) is a subspace of W.

asked by Usman on November 19, 2016
4. ### calculus

write equation of line that passes through the point 1)parallel to the given line 2)perpendicular to the given line pt (6,2) line -9x+9y=144 a)para -9x+9y=-72 perp -9x-9y=-36 b)para -9x-9y=-36 perp -9x-9y=-72 c)para 9x+9y=-36 perp

asked by ashley on February 17, 2010
5. ### algebra

prove that if U and W are vector subspaces of a vector V, then UV, is a vector subspace of V

asked by emmanuel on March 22, 2016
6. ### Linear Algebra

1/ Prove that the set V=R+ ( the set of all positive real numbers) is a vector space with the following nonstandard operations: for any x,y belong to R+ & for any scalar c belong to R: x O+ ( +signal into circle) y=x.y (definition

asked by Tri N on March 6, 2011
7. ### math

Find an orthonormal basis for the subspace of R^3 consisting of all vectors(a, b, c) such that a+b+c = 0. The subspace is two-dimensional, so you can solve the problem by finding one vector that satisfies the equation and then by

asked by john on July 26, 2007
8. ### calculus

State whether or not the following statements are true. Justify your reasoning.? a. Vector a • (Vector b + Vector c) = Vector a • Vector b + Vector a • Vector c b. Vector a × (Vector b + Vector c) = Vector a × Vector b +

asked by anon on February 23, 2015
9. ### linear algebra

Show that a subset W of a vector space V is a subspace of V if and only if the following condition holds: If u and v are any vectors in W and a and b are any scalars, then au + bv is in W.

asked by chris on July 11, 2007
10. ### Linear Algebra

V = Mnxn is a space vector formed by all the square matrices. Is W = {A in Mnxn : A^x = A} a subspace of V? Thanks

asked by Isaac on May 1, 2009

More Similar Questions