(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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) }

2. Relevant equations

3. 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

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Finding T(v) relative to B and B'

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