Project ForgeEngineering Mathematics
Linear Algebra
GATE 2017
Medium
The product of eigenvalues of the matrix P is P = [[2, 0, 1], [4, -3, 3], [0, 2, -1]]
- A-6
- 2
- C6
- D-2
Explanation
The product of eigenvalues equals det(P). Expanding along the first row: det(P) = 2[(-3)(-1)-3(2)] - 0 + 1[(4)(2)-(-3)(0)] = 2(3-6) + 1(8) = -6+8 = 2.
Source: GATE ME 2017 Session 1 (ME-1) (2017)
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