GATE Questions & Answers of Systems of linear equations

What is the Weightage of Systems of linear equations in GATE Exam?

Total 3 Questions have been asked from Systems of linear equations topic of Linear Algebra subject in previous GATE papers. Average marks 2.00.

The rank of the matrix 6044-21481814-140-10 is _______________

The following simultaneous equations

x+y+z=3
x+2y+3z=4
x+4y+kz=6

will NOT have a unique solution for k equal to

For what values of α and β the following simultaneous equations have an infinite number of solutions?

x + y + z = 5;     x + 3y + 3z = 9;     x + 2y + αz = β