Let A, be a 3 3 matrix, such that A^2-5A+7I = O. Statement - I : A^ -1 = 17 (5I-A ). Statement - II : The polynomial A^3-2A^2-3A+I, can be reduced to 5(A-4I). Then :

JEE Main 2016 Mathematics question

Let , be a matrix, such that . Statement - I : . Statement - II : The polynomial , can be reduced to . Then :

Answer: (1)

**Statement I.** Rearrange the given relation as , that is , or equivalently . By the definition of the inverse, ✓ true. **Statement II.** Use

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Question ID VK-115661