- #1
phymatter
- 131
- 0
while solving 3 linear equations in 3 variables by cramer's rule if all the determinant's are 0 then what can we conclude?
Cramer's Rule is a method used to solve systems of linear equations using determinants. It involves finding the ratio of two determinants to determine the values of the variables in the system.
No, Cramer's Rule can only be used to solve systems of linear equations with the same number of equations as variables. In other words, it can only be used for systems of equations with the same number of unknowns.
Cramer's Rule involves finding the determinants of the coefficient matrix and the constant matrix. The values of the variables can then be determined by dividing the determinant of the constant matrix by the determinant of the coefficient matrix.
Yes, there are some limitations to using Cramer's Rule. It can become computationally intensive for larger systems of equations and it may not always yield a unique solution. Additionally, if the determinant of the coefficient matrix is equal to 0, Cramer's Rule cannot be used.
If there is no solution to 3 linear equations using Cramer's Rule, it means that the system of equations is inconsistent and cannot be solved. This could occur if the equations are contradictory or if there are not enough equations to determine unique values for all variables.