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Question

Engineering Mathematics Question on Matrices

The three eigenvalues of the matrix (2X3 216 12y)\begin{pmatrix} -2 & X & -3 \\\ 2 & 1 & -6 \\\ -1 & -2 & y \end{pmatrix} are λ1=5\lambda_1 = 5 and λ2=λ3=3\lambda_2 = \lambda_3 = -3. The value of XX is _______.

A

-2

B

0

C

2

D

4

Answer

2

Explanation

Solution

The correct option is (C):2