MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Factors

If A3 = O, ...

Question

If $A^{3} = O$ , then $I + A + A^{2}$ equals

A

I - A

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

(I + A^{1})^{- 1}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

C

(I - A)^{- 1}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

D

none of these

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C $(I - A)^{- 1}$
Given, $A^{3} = 0$
$\Rightarrow I - A^{3} = I$
Using the identity, we get
$\Rightarrow (I - A) (I + A + A^{2}) = I$
$∴ I + A + A^{2} = (I - A)^{- 1}$

Suggest Corrections

thumbs-up

0

Similar questions

A^{3} = 0

I + A + A^{2}

A^{3} = 0

I + A + A^{2}

A^{3} = 0

I + A + A^{2}

a_{1}, a_{2}, a_{3}, . . . . a_{n}

are in A.P., where

a_{1} > 0

i

\frac{1}{\sqrt{a_{1}} + \sqrt{a_{2}}} + \frac{1}{\sqrt{a_{2}} + \sqrt{a_{3}}} + . . . . + \frac{1}{\sqrt{a_{n - 1}} + \sqrt{a_{n}}}

25 \sum i = 1 a_{1} = 625

a_{1}, a_{2}, a_{3} \dots ϵ

13 \sum j = 1 a_{2 j - 1}

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Introduction to Factorisation

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Standard IX Mathematics

Join BYJU'S Learning Program

CrossIcon