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If a, b, c are all different, solve the ...

If a, b, c are all different, solve the system of equations `x+y+z=1` `ax+by+cz=lamda` `a^2x+b^2y+c^2z=lamda^2` using Cramer's rule.

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To solve the system of equations using Cramer's rule, we will follow these steps: ### Given Equations: 1. \( x + y + z = 1 \) (Equation 1) 2. \( ax + by + cz = \lambda \) (Equation 2) 3. \( a^2x + b^2y + c^2z = \lambda^2 \) (Equation 3) ### Step 1: Write the system in matrix form ...
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