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Does any homogeneous system have nontrivial solution?

x+y=0 2x+2y=0 This homogeneous system has infinitely many non-trivial solutions. If you are looking for exactly one non-trivial solution, no such system exists. the system may or may not have non trivial solution. if number of variables equal to number of equations and given matrix is non singular then non trivial solution does not exist


When will a homogeneous system of equations be inconsistent?

A homogeneous system of eqs: Ax=0 will always be consistent, since x=0 is always a possible solution. However, if det(A)=0 then there will be infinite solutions, as |A|=0 implies that either no solutions or infinitely many exist, and it is impossible for no solutions to exist to Ax=0. If det(A) is non 0, then x=0 is the only solution, as |A| is not equal to 0 implies a unique solution only!(in this case x=0). Hope this helps!


Is a hydroxyl ion a solution?

Hydroxyl ion exist in solution but it is not a solution.


Solution of an equation?

Can exist but need not.


Which physical state cannot exist in a solution?

solidity


How does kelp get nutrients?

It absorbs them from the water, where they exist in solution.


What happens which maximin and minimax values of game are same solution is exist?

Yes, there is a unique solution.


Solution to linear algebra problem?

It may or may not exist. If the matrix of coefficients is singular then there is no solution.


CO2 is what kind of solution?

Carbon dioxide is an inorganic gas; but carbon dioxide can exist as a water solution.


Why mother and father should child assume equal responsibility for raising a child?

The simple reason is that they each had an equal role in causing the child to exist. Any human who causes a child to exist is responsible for the child.The simple reason is that they each had an equal role in causing the child to exist. Any human who causes a child to exist is responsible for the child.The simple reason is that they each had an equal role in causing the child to exist. Any human who causes a child to exist is responsible for the child.The simple reason is that they each had an equal role in causing the child to exist. Any human who causes a child to exist is responsible for the child.


Are solution always a liquid?

No, solid solutions also exist.


Are solution a always liquid?

No, solid solutions also exist.