Answer to the above question -
Given, basis = {(7,1), (0,3)}
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Problem #1: [2 marks] Find the coordinate vector of w = (a, b) with respect to...
Let B={(4,0), (0,3)} and v = (12,6). Find [v]_B, the coordinate vector of v, relative to basis B. (To enter a height 2 column vector, use the notation (a,b)^T.)
Problem #10: Suppose that the position vector of a particle is given by r(t) = 6ti + (2+2 +9)j + 8k. (a) Find the unit tangent vector T(!). (b) Find a simplified expression for the curvature x(t). Problem #10(a): Enter your answer as a symbolic function of t, as in these examples Enter the components of T, separated with a comma. Problem #10(): Enter your answer as a symbolic function of t, as in these examples Just Save Your work...
linear
algebra
Find the coordinate matrix of x in RP relative to the basis B'. B' = {(1, -1, 2, 1), (1, 1, -4,3), (1, 2, 0,3), (1, 2, -2, 0)}, x = (16, 10,-8, 7) [x]B 11
please help. system is sensitive to answers.
Find the coordinate vector (x]a of the vector x relative to the given basis B. 16 and B = (b, b2} b = b2 -4 -2 -5 28 O A. -64 -196 ов. -32 -64 32 D. 41 5. Find the vector x determined by the given coordinate vector [x]g and the given basis B. -2 -3 -3 -3 -5 -3 - 11 ОВ. хв - 20 18 OA X= 33 - 15...
The set B = = {1-12 1-12.1-2-2) is a basis for P2. Find the coordinate vector of p(t) = 3+3+ - 32 relative to B. [Pls - (Simplify your answer.)
Can u please answer the question (G)
1. (15 marks total) Consider the real vector space (IR3, +,-) and let W be the subset of R3 consisting of all elements (z, y, z) of R3 for which z t y-z = 0. (Although you do not need to show this, W is a vector subspace of R3, and therefore is itsclf a rcal vector space.) Consider the following vectors in W V2 (0,2,2) V (0,0,0) (a) (2 marks) Determine whether...
(a) Write the vector aas a linear combination of the set of orthonormal basis vectors 2 marks] (b) Find the orthogonal projection of the vector (1,-3) on the vector v- (-1,5). 2 marks] (c) Using your result for part (b) verify that w = u-prolvu is perpendicular to V. 2 marks]
(a) Write the vector aas a linear combination of the set of orthonormal basis vectors 2 marks] (b) Find the orthogonal projection of the vector (1,-3) on the vector...
[B] Let W be the subspace of M22 given in problem [A] . (B.1) Show that the following set forms a basis for W: S = -5 (B.2) Obtain the coordinate vector for A = 3 relative to S. That is, find (A)s. -8 Show work!
[B] Let W be the subspace of M22 given in problem [A] . (B.1) Show that the following set forms a basis for W: S = -5 (B.2) Obtain the coordinate vector for A...
plz double check answer for accuracy and box answers for
review
(10pts) Let B = {B1, B2, B3} be a basis for the vector space L2 x 2 of 2 x 2 lower triangular matrix, where B, = [:)] B -[i ), B =[ ] (a) Find the coordinate vector of Y = 2 07 with respect to B -13 (b) Find Z in L2x2 whose coordinates with respect to B is 2, 0,3
Please provide specific explanations with each correct answers.
Thanks.
10 Consider the two basis B-1,1 of R3 (a) Find matrix that changed the coordinates from the basis U to the basis B. (b) Let f be the vector which coordinate vector with respect the basis is B- 2. Use the matrix in part (a) to find coordinate vector of with respect to the basis U, i.e., [21.
10 Consider the two basis B-1,1 of R3 (a) Find matrix that changed...