How to solve linear equation in matrix form if determinat is zero

AI Thread Summary
To solve a linear equation in matrix form when the determinant is zero, it is important to understand that this indicates the system may have no solutions or infinitely many solutions. The determinant being zero implies that the matrix A is singular, meaning it does not have an inverse. The specific outcomes depend on the relationship between the matrix A and the vector y. Further analysis of the equations is necessary to determine the exact nature of the solutions available. Understanding these concepts is crucial for effectively addressing such systems of equations.
himanshu@iitp
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please help me to solve linear equation in matrix form if determinant is zero
 
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himanshu@iitp said:
please help me to solve linear equation in matrix form if determinant is zero

Welcome to the PF. Please tell us more about your question, and what you have learned so far about systems of equations and how the determinant is used in the solution. What can you say about the system of equations if the determinant is zero?
 
In general, if Ax= y and the determinant of A is 0, there is not a single solution. There may be NO solution of an infinite number of solutions, depending upon both A and y.
 

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