Ok i have a system of linear equations, and I am asked to discuss the solution. Here is the equation

1a + 0b - 1c + d = 1
0a + b - c + d = 1
3a + b - 3c + 5d = 6
2a - b - c + 2d = 2
a + b - 2c + landa(d) = 2

Im not sure if I spelled landa correctly, but you know what I mean. It asks to solve the equation for general values of landa. Any help with this is appreciated.

The first 4 equations do not involve lambda, but do involve 4 other unknowns. It would make sense to express the first 4 equations as matrices, and solve them using linear algebraic methods. Then once you have the values for a,b,c, and d, plug them into the 5th equation and solve for lambda.

Lambda is the correct spelling btw.