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Solution - Examine the Consistency of the System of Equations. X + 2y = 2 2x + 3y = 3 - Applications of Determinants and Matrices

ConceptApplications of Determinants and Matrices

Question

Examine the consistency of the system of equations.

+ 2= 2

2x + 3= 3

Solution

The given system of equations is:

+ 2= 2

2x + 3= 3

The given 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: 1 | Page no. 136

Reference Material

Solution for question: Examine the Consistency of the System of Equations. X + 2y = 2 2x + 3y = 3 concept: Applications of Determinants and Matrices. For the courses CBSE (Arts), CBSE (Commerce), CBSE (Science)
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