- #1
hkus10
- 50
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1) Find an equation relating a, b, and c so that the linear system
2x+2y+3z = a
3x- y+5z = b
x-3y+2z = c
is consistent for any values of a, b, and c that satisfy that equation.
what is the method to solve this problem?
2) In the following linear system, determine all values of a for which the resulting linear system has
a) no solution;
b) a unique solution;
c) infinitely many solutions:
x + y - z = 2
x + 2y + z = 3
x + y + (a^2 - 5)z = a
For these two questions:
Do I make this to be a reduced echelon form first?
If yes, how to make it with some variables a, b, and c?
If no, what is the right approach for this problem?
Thanks
2x+2y+3z = a
3x- y+5z = b
x-3y+2z = c
is consistent for any values of a, b, and c that satisfy that equation.
what is the method to solve this problem?
2) In the following linear system, determine all values of a for which the resulting linear system has
a) no solution;
b) a unique solution;
c) infinitely many solutions:
x + y - z = 2
x + 2y + z = 3
x + y + (a^2 - 5)z = a
For these two questions:
Do I make this to be a reduced echelon form first?
If yes, how to make it with some variables a, b, and c?
If no, what is the right approach for this problem?
Thanks