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Question

Mathematics Question on matrix transformation

Let P = [3212 1232]\left[\begin{matrix} \frac{\sqrt3}{2} & \frac{1}{2} \\\ -\frac{1}{2} & \frac{\sqrt3}{2} \end{matrix}\right] A = [11 01]\left[\begin{matrix} 1 & 1 \\\ 0 & 1 \end{matrix}\right] and Q = PAPT. If PTQ2007P = [ab cd]\left[\begin{matrix} a & b \\\ c & d \end{matrix}\right], then 2a+b-3c-4d equal to

A

2004

B

2005

C

2006

D

2007

Answer

2005

Explanation

Solution

The correct option is(B): 2005