Home
Class 12
MATHS
Let M be a 3xx3 matrix satisfying M^(3)=...

Let M be a `3xx3` matrix satisfying `M^(3)=0`. Then which of the following statement(s) are true:

A

`|M^(2)+M+I|ne0`

B

`|M^(2)-M+I|=0`

C

`|M^(2)+M+I|=0`

D

`|M^(2)-M+I|ne0`

Text Solution

Verified by Experts

The correct Answer is:
A, D
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    VK JAISWAL|Exercise Exercise-3 : Matching Type Problems|4 Videos

  • MATRICES

    VK JAISWAL|Exercise Exercise-4 : Subjective Type Problems|5 Videos

  • MATRICES

    VK JAISWAL|Exercise Exercise-4 : Subjective Type Problems|5 Videos

  • LOGARITHMS

    VK JAISWAL|Exercise Exercise-5 : Subjective Type Problems|19 Videos

  • PARABOLA

    VK JAISWAL|Exercise Exercise-5 : Subjective Type Problems|3 Videos

Similar Questions

Explore conceptually related problems

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

14.Let M be a 3times3 matrix satisfying M^(3)=0 .Then which of the following is TRUE? (|A| represent determinant of A ). a) If |M+I|=1 then |M^(2)-M+I|=1 b) If |M+I|=1 then |M^(2)-M+1|=0 c) If |M-I|=1 then |M^(2)+M+I|=1 d) If |M-I|=1 then |M^(2)+M+I|=0

Let M be a 3xx3 invertible matrix with real entries and let I denote the 3xx matrix. If M^(-1) adj(adjM). Then which of the following statements, is/are ALWAYS TRUE ?

Let A be a 3xx3 matrix such that A^(2)-5A+7I=0 then which of the statements is true

For 3 xx 3 matrices M and N, which of the following statement(s) is/are not correct?

Which of the following is a 1xx3 matrix ?

Which of the following are true: (2xx3)!=2!xx3!