Question

If \( \begin{pmatrix} 2x+y & x+y \\ p-q & p+q \end{pmatrix} = \begin{pmatrix} 1 & 1 \\ 0 & 0 \end{pmatrix} \), then \( (x, y, p, q) \) equals:

• A. \( 0, 1, 0, 0 \)
• B. \( 0, -1, 0, 0 \)
• C. \( 1, 0, 0, 0 \)
• D. \( 0, 1, 0, 1 \)
• E. \( 1, 0, 1, 0 \)

Hint:

If \( p+q=0 \) and \( p-q=0 \), the only solution is \( p=0, q=0 \). Recognizing this pattern saves time on calculations.

Answer 1

The Correct Option is A