JEE Main 2015MathematicsMatricesMediumMCQ

JEE Main 2015 — Matrices Question with Solution

JEE Main 2015 (10 Apr Online)

Question

If A=01  -10 , then which one of the following statements is not correct?

Choose an option

Show full solutionCorrect option: C
Correct answer
CA2+I=AA2-I

Step-by-step explanation

A =0-110

A2= 0-1100-110= -100-1

A3=-100-10-110=01-10

A4=01-100-110=1001

Option 1  A3+I= A A3-I

  01 -10  -1-1  1-1= 1-1 11

1-1 11 = 1-1 11 .....Correct

Option 2 A4-I=A2+I

0000= 0000 ....Correct

Option 3 0000= 0-110× -200-2 = 02-20 .....Incorrect

Option 4

A3-I=A(A-I)

-11-1-1= 0-110 × -1-11-1 = -11-1-1

 ......Correct.

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About this question

This is a previous-year question from JEE Main 2015, 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.