(4) Find the span of the vectors You answer should be either: 0}, a 3 1...
Question 1 2 pts Describe the span of {(1,0,0),(0,0,1)} in R3 The x-z plane R3 R2 The x-y plane Question 2 2 pts Describe the span of {(1,1,1),(-1,-1, -1), (2,2, 2)} in R3 A plane passing through the origin Aline passing through the origin R3 A plane not passing through the origin A line not passing through the origin Question 3 2 pts Let u and v be vectors in R™ Then U-v=v.u True False Question 4 2 pts Ifu.v...
please anyone answer all the questions as soon please
2 4 3 3 4 1. Given three points A = (0,–8, 10), B = (2, -5, 11), C = (-4,-9, 7) in R3. (a) Show that these three points are not collinear (not in a straight line). (b) Find the area of the triangle ABC. (c) Find the scalar equation of the plane containing the points A, B and C. (d) Find a point D on the plane such that...
Find vectors V1, ..., VKE R3 that span the plane in R3 with equation x-2y+32 = 0. How many do you need? Hint: Write down a parametrized solution for the equation.
22. (a) Find two vectors that span the null space of A 3 -1 2 -4 (b) Use the result of part (a) to find the matrix that projects vectors onto the null space of A. (c) Find two orthogonal vectors that span the null space of A. (d) Use the result of (c) to find the matrix that projects vectors onto the nul space of A. Compare this matrix with the one found in part (a). (e) Find the...
2 5 Do the vectors u = and v= 3 7 span R3? -1 1 Explain! Hint: Use Let a, a2,ap be vectors in R", let A = [a1a2..ap The following statements are equivalent. 1. ai,a2,..,a, span R" = # of rows of A. 2. A has a pivot position in every row, that is, rank(A) Select one: Oa. No since rank([uv]) < 2 3=# of rows of the matrix [uv b.Yes since rank([uv]) =2 = # of columns of...
(1 point) Select all of the vectors that are in the span of { ul , u2, u3 } . (Check every statement that is correct.) A. The vectoris in the span. 0 -3 B. The vector-52-7 2 is in the span C. The vector2 is in the span D. The vector -2 is in the span. E. All vectors in R3 are in the span. F The vector-70 is in the span. G. We cannot tell which vectors are...
answer in following concerning span and linear combinations a) describe circumstance in which the span vectors {u,v,w} is a plane in R3 b) determine if given vector w is a linear combination of vector v1 = <1,2> and vector v2 = <1,3>. If it is, find a, b such that vector w = aV1 + bV2 (v1,v2 are vectors). Use vector w = <1,-5>
1. Determine whether the given vectors span R3 v - (5,5,5), v2 (0, 0,-1), v3 (0,-1,-1)
(1 point) Let H = span {v\,v2, v3, V4}. For each of the following sets of vectors determine whether H is a line, plane, or R3. Select an Answer 1. -2 -8 -6 28 2 8 6 28 , V3 = ,V4 3 13 10 46 2. Select an Answer 0 2 4 V2 , V3 4 = -3 0 -6 -12 Select an Answer 3. -1 7 -12 0 3 -7 -11 -1 , V2 = , V4 ,...
2 2. Identify and Correct the Error. Describe geometrically the span of 5 -1/15] -1/6 in R3 1/10 Solution. The span of these two vectors is all the linear combinations of them, i.e. all 2 (-1/15) a 5 + b -1/6 1/10 for scalarsa, b. We have two vectors and two direction vectors span a plane. So the span of these two vectors is a plane with parametric equation: [-1/15) 5+t-1/6 with s,t real numbers. 1/10 BAD SOLUTION. The mistake...