what is unique solution , no solution , infinitely many solution ?
Answers
Answer:
The three types of solution sets: A system of linear equations can have no solution, a unique solution or infinitely many solutions. A system has no solution if the equations are inconsistent, they are contradictory. for example 2x+3y=10, 2x+3y=12 has no solution. is the rref form of the matrix for this system.
Condition for Unique Solution to Linear Equations
A system of linear equations ax + by + c = 0 and dx + ey + g = 0 will have a unique solution if the two lines represented by the equations ax + by + c = 0 and dx + ey + g = 0 intersect at a point. i.e., if the two lines are neither parallel nor coincident
No Solution
When a problem has no solution you'll end up with a statement that's false. For example: 0=1 This is false because we know zero can't equal one. ... So, we say this problem has no solution. This means no matter what number you put in for the variable x, you will never get anything that equals one another.
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