A student solved a 3×3 matrix using Cramer's rule. If Dx = 0, Dy = 0, Dz = 0 and D ≠ 0, what is the solution?
A student solved a 3×3 matrix using Cramer's rule. If Dx = 0, Dy = 0, Dz = 0 and D ≠ 0, what is the solution?
- A. No solution
- B. x=1, y=1, z=1
- C. Infinite solutions
- D. x=0, y=0, z=0
Answer: D) x=0, y=0, z=0
Explanation: By Cramer's rule, x = Dx/D = 0/D = 0. Similarly, y = 0 and z = 0. This is the trivial solution.
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