Home
Class 12
MATHS
If A is a matrix such that A^2+A+2I=Odot...

If `A` is a matrix such that `A^2+A+2I=Odot,` the which of the following is/are true? A is non-singular A is symmetric A cannot be skew-symmetric `A^(-1)=-1/2(A+I)`

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

Which of the following is a skew symmetric matrix?

If Ais symmetric and B is skew-symmetric matrix, then which of the following is/are CORRECT ?

A is a real skew symmetric such that A^(2)+I=0 then

Write a 2xx2 matrix which is both symmetric and skew-symmetric.

Write a x2x matrix which is both symmetric and skew-symmetric.

Write a square matrix of order 2, which is both symmetric and skew symmetric.

If A is a non-singular symmetric matrix, write whether A^(-1) is symmetric or skew-symmetric.

Express the following as the sum of symmetric and skew - symmetric matrices : [(3,3,-1),(0,-2,1),(-4,-5,2)]

Express matrices as the sum of a symmetric and skew symmetric matrix [(1,5),(-1,2)]

Express the following as the sum of symmetric and skew - symmetric matrices : [(6,-2,2),(-2,3,-1),(2,-1,3)]