Answer to Question #324396 in Linear Algebra for Talifhani

Question #324396

Let x, y and z be three vectors in a vector space V

a. Give a definition of span{x,y, z} in set notation. [2]

b. Prove that the span{x,y, z} is a subspace of V.

Expert's answer

Answer in progress...

Learn more about our help with Assignments: Linear Algebra

Comments

No comments. Be the first!

Leave a comment

Related Questions

1. For what values of α are vectors (1,1,2,1), (2,1,2,3), (1,4,2,1) (-1,3,5,α) are linearly inde-pend
2. Let S = {u1,u2,u3} be a basis for the vector space V. Show that T = {w1,w2,w3} is alsoa basis for V,
3. Letv1 = (0,3,6,0),v2 = (0,2,4,6), and v3 = (1,−1,−2,1). Express (4,−1,−2,−11) as alinear c
4. 2x+5y+3z=2x+2y+2z=4x+y+4z=11. Use the elementary row reduction to solve for the linear system.
5. Let S = {w1,w2,...,wk} be a basis for the vector space V. Prove that every vector in V canbe express
6. Let W be the set of all 3×3 real diagonal matrices. Prove that W is a subspace of M33.
7. 1.9.given A "\\begin{bmatrix}\n 1 & 1& -1 \\\\\n 2 & 2 & 3 \\\\\n 4 & 0