Let A = M (f) be the matrix associated with B the linear map f((x,y,z)) = (x-2y+z,y+z-x,x+z) relative to the bases B={u= (1,0,3); v = (0, -3,8), w=(2,11,0) } and B'= {u'= (0,0, 2); v' = (1,0,3); w' = (1,5, 1)} Then the second column of A is: 0 -3 2 H E 8 O A. B. 14 C. D. - 16 13 1 - 1/2 1/2 1/2 E. OF:1

Q: Find the Projection of b Projection matrix P and show that P2 = P (1,2, 1) on to the line x = 2+ t,…

A: To determine the projection vector a point on to a line  Determine the normal vector which is…

Q: Find T(v) by using the standard matrix and the matrix relative to B and B'. T: R² R², T(x, y) = (2y,…

A:

Q: Suppose T is a linear transformation, where ū (1, 0, 0) V = = W = (0, 1, 0) (0, 0, 1) Find the…

A: Solve the following

Q: Find a vector that is orthogonal to the triangle with vertices P=(1,0,0), Q= (0,2,0), R=(1,1,1)

A: RECALL: Orthogonal vector:  Let us consider to vectors a→ and b→ then , cross product of a→ and b→…

Q: B = {(1, 2, 4), (–1, 2, 0), (2, 4, 0)}, B' = {(0, 2, 1), (–2, 1, 0), (1, 1, 1)} %3D Find the…

A:

Q: Q) Find an adjacency matrix and a graph representation for the graph G = (V, E), V = {(0,0,0),…

A:

Q: 2. Find a nonzero vector that lies in the intersection of the plane {x + 2y + 3z = 0} 1 2 and the…

A:

Q: {(1,1, 1), (1, 0, 1), (0, 1, 1)} and B' = {(0, –1, –1), (–1,0, –1), (–1, –1, 1)}. Find the…

A:

Q: Find T(v) by using the standard matrix and the matrix relative to B and B'. T: R² R², T(x, y) = (2y,…

A: Introduction: To find the standard matrix related to any basis first find the images of the basis…

Q: d. Find the transition matrix from C to B. e. Find the coordinates of u = (2, –2) in the ordered…

A:

Q: Apply Gram-Schmidt orthogonalization to the column vectors of A, a1 = (1, 1, 0)T ,a2 = (1, 0, 1)T ;…

A:

Q: 1. (a) Find the matrix P that multiplies every vector (x, y, z) E R³ to produce the vector (3x+2y+z,…

A: What is Linear Transformation: A function from one vector space to another that respects the…

Q: Let A = (5,-7,6), B = (2,1,3) and C = (2,-37,-3). a) Find whether vectors A, B and C are linearly…

A:

Q: Let B = {-3,2), (4, -2)} and B' = {(-1,2), (2,-2)} a. Find the transition matrix from B to B'. b.…

A: