JEE Main 2008 — Matrices Question with Solution
JEE Main 2008
Question
Let be a square matrix all of whose entries are integers. Then which one of the following is true?
Choose an option
Show full solutionCorrect option: C
Correct answer
CIf , then exists and all its entries are integers
Step-by-step explanation
Each entry of is integer, so the cofactor of every entry is an integer and hence each entry in the adjoint of matrix is integer.
Now and
all entries in are integers.
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This is a previous-year question from JEE Main 2008, covering the Matrices chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.