IIT JEE Advanced 2006 Paper 1

Paragraph Type This section contains 4 paragraphs. Based on each paragraph, there are 3 questions. Each of these questions has 4 choices (A), (B), (C) and (D) out of which ONLY ONE is correct. Paragraph for Questions 101–103: A = $\begin{bmatrix} 1 & 0 & 0 \\ 2 & 1 & 0 \\ 3 & 2 & 1 \end{bmatrix}$ , if $U_1, U_2$ and $U_3$ are column matrix satisfying $AU_1$ = $\begin{bmatrix} 1 \\ 0 \\ 0 \end{bmatrix}$ , $AU_2$ = $\begin{bmatrix} 2 \\ 3 \\ 0 \end{bmatrix}$ , $AU_3$ = $\begin{bmatrix} 2 \\ 3 \\ 1 \end{bmatrix}$ and U is a 3 × 3 matrix whose column are $U_1, U_2, U_3$, then answer the following questions.