Bissoy.com
Doctors Medicines MCQs Q&A

Determine all possibilities for the solution set of a homogeneous system of 4 equations in 4 unknowns.

Determine all possibilities for the solution set of a homogeneous system of 4 equations in 4 unknowns. Correct Answer finitely many or zero

Here the number of equations and the number of unknowns are equal and the system is homogeneous, so it may have the zero solution or infinitely many solutions.

Related Questions

Determine all possibilities for the solution set of the homogeneous system of 5 equations in 3 unknowns and the rank of the system is 3.
Determine all possibilities for the solution set of a homogeneous system of 5 equations in 4 unknowns and the rank of the system is 3.
Determine all possibilities for the solution set of a homogeneous system of 6 equations in 5 unknowns.
Determine all possibilities for the solution set of the system of 2 equations in 3 unknowns that has x1 = 4, x2 = −7, x3 = 0 as a solution.
Determine all possibilities for the number of solutions of the system of 7 equations in 5 unknowns and it has x1 = 0, x2 = −6, and x3 = 4 as a solution.
Determine all possibilities for the solution set of the homogeneous system that has y1 = 6, y2 = −4, y3 = 0 as a solution.
Determine all possibilities for the solution set of a homogeneous system that has y1 = 5, y2 = −3, y3 = 2 as a solution.
What is the general form of the general solution of a non-homogeneous DE (uh(t)= general solution of the homogeneous equation, up(t)= any particular solution of the non-homogeneous equation)?
A 60% spirit solution is mixed with r% spirit solution in the ratio 1 : 3 such that a s% spirit solution is obtained. When a (s/3)% spirit solution is mixed with 55% spirit solution in equal ratio, an (r/2)% spirit solution is obtained. Which of the following can be determined? (A) Value of ‘r’ (B) Value of ‘s’ (C) Volume of the 60% spirit solution mixed initially (D) If 9 liters of r% spirit solution was mixed initially, what was the volume of the s% spirit solution thus obtained?
A chemical solution appears green when the salt concentration is 8 grams per litre (gpl) and red when it is 10 gpl. Pure water was added to the solution of 1 litre of 15 gpl solution till it turned green. Then 125 ml of the green solution is taken out and x grams of salt is added to the green solution to make it red. Another 500 ml of the final solution was taken out and y litres of green solution is added to get a resultant solution of concentration 9.6 gpl.  Assume adding salt doesn’t change its volume and find the ratio of x and y.