Question
Examine the consistency of the system of equations.
5x − y + 4z = 5
2x + 3y + 5z = 2
5x − 2y + 6z = −1
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Solution
The given system of equations is:
5x − y + 4z = 5
2x + 3y + 5z = 2
5x − 2y + 6z = −1
This system of equations can be written in the form of AX = B, where
∴ A is non-singular.
Therefore, A−1 exists.
Hence, the given system of equations is consistent.
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Reference Material
Solution for question: Examine the Consistency of the System of Equations. 5x − Y + 4z = 5 2x + 3y + 5z = 2 5x − 2y + 6z = −1 concept: Applications of Determinants and Matrices. For the courses CBSE (Arts), CBSE (Commerce), CBSE (Science)