### Linear transformations-unique solutions

Assignment Help Mathematics
##### Reference no: EM13125152

Show that the system of equations

2x + y + z = -6a
2x + y + (b +1)z = 4
bx + 3y + 2z = 2a

Has a unique solution except when b = 0 and b = 6.

If b = 0, show that there is only one value for a for which a solution exists, and find the general solution in this case.

Discuss the case when b = 6.

Interpret your solutions in terms of the kernel and image of the linear transformation T: o^3 --> o^3 represented by the equations.

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