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# Solution - Examine the Consistency of the System of Equations. 5x − Y + 4z = 5 2x + 3y + 5z = 2 5x − 2y + 6z = −1 - Applications of Determinants and Matrices

ConceptApplications of Determinants and Matrices

#### Question

Examine the consistency of the system of equations.

5x − y + 4z = 5

2x + 3y + 5z = 2

5x − 2y + 6z = −1

#### 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.

Is there an error in this question or solution?

#### APPEARS IN

NCERT Mathematics Textbook for Class 12 Part 1
Chapter 4: Determinants
Q: 6 | Page no. 136

#### 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)
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