Please help solve this while providing a detailed solution = Given vectors ū = (-9, -1,...

Question

Question

Please help solve this while providing a detailed solution

= Given vectors ū = (-9, -1, -6]T, ū [10, 2, 7]T E R3. Determine whether the vector [7,-1,4]T is in span{ū, v}. If the vector

Answer 1

Answer #1

T SKUHMHNNKI -(-9,-1,-1) 7- (10,2,a] and 5 = [7,-1,9] first check for dependent on mole pendent 6 9 -9 1 R₂ R2+R, Contract

Answer 2

Similar Homework Help Questions

please anyone answer all the questions as soon please 2 4 3 3 4 1. Given...

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...
Please help solve while providing a detailed solution. Being given the following information, use the equations...

Please help solve while providing a detailed solution. Being given the following information, use the equations provided to find the steady-state current in the following RLC circuit. R=82 L= 0.5H C= 0.1F E(t) = 100 cos(2t) V knowing that at t = 0, i(0) = 0 Equations: UR = Ri VL = = L- di 9 Uci dt С VR + V1 + Vc = e(t) or =V (if the source voltage is constant) dq duc i= = C- q=ſidt...
Please help solve this while providing a detailed solution Given three points A = (0, -8,10),...

Please help solve this while providing a detailed solution 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) Fine the scalar equation of the plane containing the points A, B and C. (d) Find a point D on the plane such that ABCD is a parallelogram. What is the...

It is given that the vectors ū = [11,0, 6] and ✓ = (-2,0,–27) lie in...

It is given that the vectors ū = [11,0, 6] and ✓ = (-2,0,–27) lie in a linear subspace W of R'. It follows that, also ū = 29, 0, -36) lies in W. This can be seen by writing was a linear combination of ū and V. Determine the numbers x and y so û = x ·ū+y. V. Give your answer in the form x = a 1y=b for two numbers a and b.
Please help solve, providing a detailed solution using the equations provided below and LaPlace transform (Use...

Please help solve, providing a detailed solution using the equations provided below and LaPlace transform (Use the table provided in the link) to solve the differential equations obtained when working through the question. Link to the Laplace Transform Table: https://ibb.co/TkrvbNH Being given the following information, use the equations provided to find the steady-state current in the following RLC circuit. R=82 L= 0.5H C= 0.1F E(t) = 100 cos(2t) V knowing that at t = 0, i(0) = 0 Equations: UR...
1. Given the vectors ū=(1,-2,-6) and v = (0,-3,4), a) Find u 6v. b) Find a...

1. Given the vectors ū=(1,-2,-6) and v = (0,-3,4), a) Find u 6v. b) Find a unit vector in the opposite direction to ū. c) Find (ü.v)v. d) Find 11: e) Find the distance between ū and v. f) Are ū and y parallel, perpendicular, or neither? Explain. g) Verify the Triangle Inequality for ū and ū.

Problem 4 A set of vectors is given by S = {V1, V2, V3} in R3...

Problem 4 A set of vectors is given by S = {V1, V2, V3} in R3 where eV1 = 1 5 -4 7 eV2 = 3 . eV3 = 11 -6 10 a) [3 pts) Show that S is a basis for R3. b) (4 pts] Using the above coordinate vectors, find the base transition matrix eTs from the basis S to the standard basis e. Then compute the base transition matrix sTe from the standard basis e to the...
Please show work Problem 2. Consider the vectors [1] 1 1 v1 = 1, V2 =...

Please show work Problem 2. Consider the vectors [1] 1 1 v1 = 1, V2 = -1, V3 = -3 , 04 = , 05 = 6 Let S CR5 be defined by S = span(V1, V2, V3, V4, 05). A. Find a basis for S. What is the dimension of S? B. For each of the vectors V1, V2, V3, V4.05 which is not in the basis, express that vector as linear combination of the basis vectors. C. Consider...
PLEASE SOLVE IT WITH STEPS AND EXPLANATION DEFINITION Set Addition If A and B are sets...

PLEASE SOLVE IT WITH STEPS AND EXPLANATION DEFINITION Set Addition If A and B are sets of vectors, then the set sum of A and B, denoted A+B, is A+B (R:-a+6 for some a A and beB). 17 {-} Let A B , and -span 17.1 Draw A, B, and A +B in the same picture. 172 Is A+ B the same as B+A? 173 Drawt+A Consider the line t, given in vector form by t Can , be described...

Numbers 5-7 5. Solve the linear system and determine its solution space S. Is S a...

Numbers 5-7 5. Solve the linear system and determine its solution space S. Is S a subspace of R”? Justify your answer. 3x1 + 6x3 + 3x4 + 9x5 = 0 X1 + 3x2 - 4x3 – 8x4 + 3x5 = 0 X1 – 6x2 + 14x3 + 19x4 + 3x5 = 0 6. Let S = {(2,0,7), (2, 4, 5), (2, -12, 13)}. If possible, write x = (2, 20, -3) as a linear combination of the vectors in...