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himanshu@iitp
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please help me to solve linear equation in matrix form if determinant is zero
himanshu@iitp said:please help me to solve linear equation in matrix form if determinant is zero
A linear equation in matrix form will have variables represented as columns and constants represented as a separate column on the right-hand side. The variables and constants will be separated by an equal sign.
If the determinant is zero in a linear equation in matrix form, it means that the system of equations has no unique solution. This can happen if there are either no solutions or infinitely many solutions.
If the determinant is zero, you can still solve the system of equations by using other methods such as substitution or elimination. However, the solution will not be unique and there may be multiple solutions or no solutions at all.
Yes, Gaussian elimination can still be used to solve the system of equations even if the determinant is zero. However, you may encounter an inconsistency in the reduced row-echelon form, indicating that the system has no solution.
If the determinant is zero, the solution to the system of equations will either be a set of infinitely many solutions or no solutions at all. This can be interpreted as either an underdetermined or inconsistent system of equations.