Question:medium
The system of linear equations \( 3x + y - z = 2, x - z = 1 \) and \( 2x + 2y + az = 5 \) has unique solution when:
The system of linear equations \( 3x + y - z = 2, x - z = 1 \) and \( 2x + 2y + az = 5 \) has unique solution when:
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For a system \(AX = B\), a unique solution exists if and only if \(|A| \neq 0\). If \(|A| = 0\), the system may have either no solution or infinitely many solutions.
Updated On: May 6, 2026
- \( a \neq 3 \)
- \( a \neq 4 \)
- \( a \neq 5 \)
- \( a \neq 2 \)
- \( a \neq 1 \)
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The Correct Option is D
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