Home
Class 12
MATHS
Let A be a square matrix satisfying A^2+...

Let A be a square matrix satisfying `A^2+5A+5I= 0` the inverse of `A+2l` is equal to

A

`A-2I`

B

`A+3I`

C

`A-3I`

D

non-existent

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    VIKAS GUPTA (BLACK BOOK)|Exercise Exercise-2 : One or More than One Answer is/are Correct|5 Videos

  • MATRICES

    VIKAS GUPTA (BLACK BOOK)|Exercise Exercise-4 : Subjective Type Problems|5 Videos

  • LOGARITHMS

    VIKAS GUPTA (BLACK BOOK)|Exercise Exercise-5 : Subjective Type Problems|19 Videos

  • PARABOLA

    VIKAS GUPTA (BLACK BOOK)|Exercise Exercise-5 : Subjective Type Problems|3 Videos

Similar Questions

Explore conceptually related problems

Let A be a square matrix satisfying A^(2)+5A+5I=0 . The inverse of A+2I is equal to :

If A is a square matrix satisfying A^(2)=1 , then what is the inverse of A ?

If A is a square matrix such that A^2-A+l=0 , then the inverse of A is

Let A be a square matrix of order 3 such that transpose of inverse of A is A itself then |adj (adjA)| is equal to

Let A be a square matrix such that A^2-A+I=O , then write A^(-1) in terms of Adot

If A is a square matrix satisfying the equation A^(2)-4A-5I=0 , then A^(-1)=

Let A be a square matrix of order 3 satisfying A A'=I Statement I A'A=I Statement II (AB)'= B'A'

Let A be a 3xx3 matrix satisfying A^3=0 , then which of the following statement(s) are true (a)|A^2+A+I|!=0 (b) |A^2-A+O|=0 (c)|A^2+A+I|=0 (d) |A^2-A+I|!=0