Question:medium

The existence of the unique solution of the system \[ x + y + z = \lambda, \quad 5x - y + \mu z = 10, \quad 2x + 3y - z = 6 \] depends on:

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For systems of linear equations, use the determinant of the coefficient matrix to determine the existence of a unique solution. If the determinant is zero, the system may have no solution or infinitely many solutions.

Updated On: Apr 22, 2026

$ \mu $ only
$ \lambda $ only
$ \lambda $ and $ \mu $ both
neither $ \lambda $ nor $ \mu $

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The Correct Option is A

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The existence of the unique solution of the system \[ x + y + z = \lambda, \quad 5x - y + \mu z = 10, \quad 2x + 3y - z = 6 \] depends on:

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The Correct Option is A

Solution and Explanation

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