JEE Main 2020MathematicsMatricesMediumMCQ

JEE Main 2020 — Matrices Question with Solution

JEE Main 2020 (08 Jan Shift 2)

Question

If A=2294 and I=1001, then 10 A-1, is equal to.

Choose an option

Show full solutionCorrect option: C
Correct answer
CA-6I

Step-by-step explanation

Characteristics equation of matrix A is A-xI=0.

2294-x1001=0
⇒2-x924-x=0 ⇒x2-6x-10=0

∴A2-6A-10I=0
10A-1=A-6I.

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About this question

This is a previous-year question from JEE Main 2020, 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.