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

Suppose that T : R2 → R2 is linear and has matrix

-2 1

5 2

with respect to the standard basis S of R2.

B = 1 1

5 6

(B is another poorly constructed matrix)

What is the matrix of T with respect to B?

2. Relevant equations

T[itex]_{C,B}[/itex] = (T[itex]_{C,S}[/itex])[itex]^{-1}[/itex]I[itex]_{B,S}[/itex]

3. The attempt at a solution

Please see the pdf called q6b

Also to see the question better presented look at problems1.pdf. Go to Problem sheet 3 question 6b

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# Matrix composition question

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