matricies

Please give step by step instructions and name each step like triangular form, augmented matrix etc so I know when and what to do and can understand it. We are not using calculator so the steps need to be shown to the solution. 1) Solve the system using elementary row operations on the equations of the augmented matrix. Follow the systematic elimination proceedure. xsub1 +5xsub2 = 7 -2xsub1 - 7xsub2 = -5 2) Find the point of intesection of the lines xsub1 - 5xsub2 =1 and 3xsub1 - 7xsub2 = 5 3) What is a row operation in matricies? What you do to transform it from the augmented matrix to the triangular form where you have a row of ones and 0's under and above the leading one... click for more

Triangular form, augmented matrix, etc.

Please give step by step instructions and name each step like triangular form, augmented matrix etc so I know when and what to do and can understand it. We are not using calculator so the steps need to be shown to the solution. 1) Compute u + v and u - 2v u = -1 ; v = -3 2 -1 2) display the following vectors using arows on an xy graph: u, v, -v, -2v, u+v, u-v, and u-2v. Use u and v from #1. 3) Write a system of equations that is = to the given vector equation. 6 -3 1 xsub1 -1 + xsub2 4 = -7 5 0 -5 4) Write a vector equation that is equivalent to the given system of equations. xsub2 + 5xsub3 =0 4xsub1 +... click for more

Matrices Questions

Please give step by step solution in detail. Determine if b is a linear combination of the vectors formed from the columns of the matrix A. A = 1 -4 2 , b = 3 0 3 5 -7 -2 8 -4 -3 2) List 5 vectors in span (v1, v2). For each vector show the weights on v1 and v2 used to generate the vector and list the three entries of the vector. Do not make a sketch. v1 = 7 , v2 = -5 1 3 -6 0 3) Give the geometric description of span (v1,v2) for the vectors. u = 2 and v = 2 -1 1

vectors

What would a vector v in R4 such that: V(1,2,1,0) T V(1,0,-1,1) T V(0,2,0,-1) = AND find scalars a,b,c,d such that <(1,2,1,0),(1,0,-1,1),(0,2,0,-1)> = please NOTE: denotes the vector subspace of Rn generated by the vectors v1,...,vk and that for scalars a1,...,an belonging to R, V(a1,...,an) = {x belonging to Rn : a1x1+...+anxn = 0} Also, T means intersection

vectors

Suppose that V and W are vector subspaces of Rn. If I define: V + W = {v+w: v belonging to V, w belonging to W} How can I prove that V+W is also a vector subspace of Rn and ALSO how could verify that (for example) <(1,0,1), (-1,0,1)> + <(3,2,1)> = R3 Thanks