MHT CET 2024 Mathematics question
Suppose A is any 3 x 3 non-singular matrix and (A-3I) (A-5I) = O where and . Here represent zero matrix of order 3 and is an identify matrix of order 3. If then is equal to
Answer: (D)
Solution
Expand . Multiply by (it exists as is non-singular): . Divide by 2 to get the right side : . Comparing with gives
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