GATE Papers >> EEE >> 2008 >> Question No 38

Question No. 38 EEE | GATE 2008

Let P be a 2 X 2 real orthogonal matrix and x is a real vector x1,x2τ with length $\style{font-size:14px}{\parallel\overrightarrow x\parallel=\left(x_1^2+x_2^2\right)^\frac12.}$ Then, which one of the following statements is correct ?

Answer : (b) $\style{font-size:14px}{\parallel\mathrm P\overrightarrow{\mathrm x}\parallel=\parallel\overrightarrow{\mathrm x}\parallel}$ for all vector x

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