Consider the ordered bases B={[8,9]} and
C={[-2,0],[-3,3]} for the vector space R^2.
A. find the matrix...
Consider the ordered bases B={[8,9]} and
C={[-2,0],[-3,3]} for the vector space R^2.
A. find the matrix from C to B.
B.Find the coordinates of u=[2,1] in the ordered basis B.
C.Find the coordinates of v in the ordered basis B if the
coordinate vector of v in C =[-1,2].
In R^2, let u = (1,-1) and v = (1,2).
a) Show that (u,v) form a...
In R^2, let u = (1,-1) and v = (1,2).
a) Show that (u,v) form a basis. Call it B.
b) If we call x the coordinates along the canonical basis and y
the coordinates along the ordered B basis, find the matrix A such
that y = Ax.
In R^3 consider the following two bases B= { v1=(2,2,-3),
v2=(2,2,0), v3=(1,2,4)} and B' = {...
In R^3 consider the following two bases B= { v1=(2,2,-3),
v2=(2,2,0), v3=(1,2,4)} and B' = { w1= (1,0,2), w2=(2,1,2),
w3=(0,2, -2) }
a) Find the matrix associated to the change of basis from B to
B'.
b) If VB= (-1,3,0), then find VB'
1. Let B = {(−1,2),(1,1)} = {w1,w2} be a basis for R2, and v =
(3,...
1. Let B = {(−1,2),(1,1)} = {w1,w2} be a basis for R2, and v =
(3, 2). Find (v)B.
2. Find the closest point in the plane 3x−y+2z = 0 to the point
p(−1, 2, −1). What is the distance from p to this plane?
Thank you.
Let B={(1,1,1),(4,−2,0),(0,−3,2)} and
B′={(1,0,0),(1,−2,1),(1,3,−1)} be two ordered bases for the vector
space V=R3. Find the transition...
Let B={(1,1,1),(4,−2,0),(0,−3,2)} and
B′={(1,0,0),(1,−2,1),(1,3,−1)} be two ordered bases for the vector
space V=R3. Find the transition matrix from B to B′.
Let T: P3→P3 be given by T(p(x)) =p(2x) and consider the bases
B={1, x, x2, x3}and...
Let T: P3→P3 be given by T(p(x)) =p(2x) and consider the bases
B={1, x, x2, x3}and B′={1, x−1,(x−1)2,(x−1)3} of P3.
(a) Find the matrix of T relative to B.
(b) Find the change of basis matrix from B′ to B.
Define T:R^2 -> R^2 by T(x,y) = (x+3y, -x+5y) and let B' =
{(3,1)^T, (1,1)^T}. Find...
Define T:R^2 -> R^2 by T(x,y) = (x+3y, -x+5y) and let B' =
{(3,1)^T, (1,1)^T}. Find the matrix A' for T relative to the basis
B'.
Find two nash equilibria of the game
L
C
R
U
1,-1
0,0
-1,1
M
0,0...
Find two nash equilibria of the game
L
C
R
U
1,-1
0,0
-1,1
M
0,0
1,1
0,0
D
-1,1
0,0
1,-1
Evaluate ∮C(6y−3y2+x)dx+yx3dy where C is the boundary of the
parallelogram with vertices A(−1,−1),B(1,1),C(−1,2) and D(1,4)
Evaluate ∮C(6y−3y2+x)dx+yx3dy where C is the boundary of the
parallelogram with vertices A(−1,−1),B(1,1),C(−1,2) and D(1,4)