Sun May 08, 2011 By: Manav Rajput

For what values of a and b, the equations: 2x + 3y + 5z = 9; 7x + 3y - 2z = 8; 2x + 3y + az = b will have a unique solution?

Expert Reply
Sun May 08, 2011
Find the determinant of the "coefficient matrix".
Let that determinant be zero.
Solve for "a".
I get a=5
a unique solution
There will be a unique solution as long
as a is not 5; b may be any value

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