Question:

In the system of linear equations AX = B, if A is a singular matrix and B is a null matrix, then which of the following is correct?

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Singular matrices lead to either no solutions or infinitely many solutions, depending on the consistency of the system.

Updated On: Jan 6, 2025

The system is inconsistent
The system has a unique solution
The system is consistent and has no solution
The system has infinitely many solutions

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The Correct Option is D

Solution and Explanation

If A is a singular matrix and B is a null matrix, it implies that the system of equations has infinitely many solutions. This is because a singular matrix means that the system does not have a unique solution, but since B is a null matrix, there are multiple solutions that satisfy the equation.

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Top Questions on Mathematics

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