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  3. consider the system of equations 5x+5z=0 4ax-y+4a

Consider the system of equations 5x+5z=0 4ax-y+4az=0 bx+10y+az=6c Find conditions on a, b, and c such that the systems...

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Question

Advance Math

Consider the system of equations

5x+5z=0
4ax-y+4az=0
bx+10y+az=6c

Find conditions on a, b, and c such that the systems has

(a) no solutions
(b) infinetly many solutions, and provide a formula forsolutions in this case
(c) exactly one solution

This is a problem in matrix theory.

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