Question:medium
If \( \begin{pmatrix} x+y & x-y \\ 2x+z & x+z \end{pmatrix} = \begin{pmatrix} 0 & 0 \\ 1 & 1 \end{pmatrix} \), then the values of \( x, y \) and \( z \) are respectively:
If \( \begin{pmatrix} x+y & x-y \\ 2x+z & x+z \end{pmatrix} = \begin{pmatrix} 0 & 0 \\ 1 & 1 \end{pmatrix} \), then the values of \( x, y \) and \( z \) are respectively:
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When solving matrix equality, look for the simplest equations first. Here, \( x+y=0 \) and \( x-y=0 \) immediately imply both variables must be zero.
Updated On: May 1, 2026
- \( 0, 0, 1 \)
- \( 1, 1, 0 \)
- \( -1, 0, 0 \)
- \( 0, 0, 0 \)
- \( 1, 1, 1 \)
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The Correct Option is A
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