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The determinant of the matrix whose eigen values are 4, 2, 3 is given by, _______

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The determinant of the matrix whose eigen values are 4, 2, 3 is given by, _______

(a) 9

(b) 24

(c) 5

(d) 3

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Question is from Diagonalization Powers of a Matrix in section Eigen Values and Eigen Vectors of Engineering Mathematics

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The correct choice is (b) 24

Explanation: The product of the eigen values of a matrix gives the determinant of the matrix,

Therefore, ∆ = 24.

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