engineering recuitment GATE ECE 2023-24 Test Series Engineering Mathematics Linear Algebra System of Linear Equations
Consider the following system of linear equations,
x1 + 2x2 = b1
2x1 + 4x2 = b2
3x1 + 7x2 = b3
3x1 + 9x2 = b4
Which one of the following conditions ensures that a solution exists for the above system?
1
b2 = 2b1 and 6b1 – 3b3 + b4 = 0
2
b3 = 2b1 and 6b1 – 3b3 + b4 = 0
3
b2 = 2b1 and 3b1 – 6b3 + b4 = 0
4
b3 = 2b1 and 3b1 – 6b3 + b4 = 0