What is the condition for infinite solution in matrix?

In simple words, when a system is consistent, and the number of variables is more than the number of nonzero rows in the RREF of the matrix, the matrix equation will have infinitely many solutions.

What is the rule for infinite solutions?

If we end up with the same term on both sides of the equal sign, such as 4 = 4 or 4x = 4x, then we have infinite solutions. If we end up with different numbers on either side of the equal sign, as in 4 = 5, then we have no solutions.

What is an infinite solution?

It is possible to have more than solution in other types of equations that are not linear, but it is also possible to have no solutions or infinite solutions. No solution would mean that there is no answer to the equation. Infinite solutions would mean that any value for the variable would make the equation true.

How do you make a matrix have infinite solutions?

As you can see, the final row of the row reduced matrix consists of 0. This means that for any value of Z, there will be a unique solution of x and y, therefore this system of linear equations has infinite solutions.

What does an infinite solution look like on a graph?

If the graphs of the equations do not intersect (for example, if they are parallel), then there are no solutions that are true for both equations. If the graphs of the equations are the same, then there are an infinite number of solutions that are true for both equations.

When does infininfinite solution of Matices occur?

infinite solution of matices occur if the following conditions satisfy. For a m*n matrix let us say 3*3 matrix. if you reduce echelon the matrix then. [0 0 0…0|a] where a should equal to zero should occur.

How do you know if an equation has infinite solutions?

An equation can have infinitely many solutions when it should satisfy some conditions. The system of an equation has infinitely many solutions when the lines are coincident, and they have the same y-intercept. If the two lines have the same y-intercept and the slope, they are actually in the same exact line.

How many solutions does a matrix with a row of zero?

Therefore, any square matrix with a row of zeroes will be singular and will have infinitely many solutions. By taking, the determinant, you can come to the same conclusion. Hello. infinite solution of matices occur if the following conditions satisfy. For a m*n matrix let us say 3*3 matrix. [0 0 0…0|a] where a should equal to zero should occur.

How do you know if a matrix has one unique solution?

As you can see, each variable in the matrix can have only one possible value, and this is how you know that this matrix has one unique solution Let’s suppose you have a system of linear equations that consist of: which impossible, 0 cannot equal -3. Therefore this system of linear equations has no solution.