- #1
dzimitry
- 4
- 0
Homework Statement
find T(v) using the matrix relative to B and B'
T(x, y, z) = (2x, x + y, y + z, x + z)
v = (1, -5, 2)
B = { (2, 0, 1), (0, 2, 1), (1, 2, 1) }
B' = { (1, 0, 0, 1), (0, 1, 0, 1), (1, 0, 1, 0), (1, 1, 0, 0) }
Homework Equations
The Attempt at a Solution
T(2, 0, 1) = (4, 2, 1, 3)
= 4(1, 0, 0, 1) + 2(0, 1, 0, 1) + 1(1, 0, 1, 0) + 3(1, 1, 0, 0)
= (8, 5, 1, 6)
T(0, 2, 1) = (0, 2, 3, 1)
= (4, 3, 3, 2)
T(1, 2, 1) = (2, 3, 3, 2)
= (7, 5, 3, 5)
A = 8 4 7
5 3 5
1 3 3
6 2 5
Av = (2, 0, -8, 6)
but if the person I am checking against is right, the answer should be (2, -4, -3, 3)
I am confused as to if I can even use the method I am using in this case.
Thanks in advance