Home
Class 12
MATHS
For 3xx3 matrices Ma n dN , which of the...

For `3xx3` matrices `Ma n dN ,` which of the following statement (s) is (are) NOT correct ? `N^T M N` is symmetricor skew-symmetric, according as `m` is symmetric or skew-symmetric. `M N-N M` is skew-symmetric for all symmetric matrices `Ma n dNdot` `M N` is symmetric for all symmetric matrices `M a n dN` `(a d jM)(a d jN)=a d j(M N)` for all invertible matrices `Ma n dNdot`

Promotional Banner

Similar Questions

Explore conceptually related problems

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

If A is a symmetric matrix and n in N, write whether A^(n) is symmetric or skew-symmetric or neither of these two.

If A is a symmetric matrix and n in N, write whether A^(n) is symmetric or skew-symmetric or neither of these two.

If A is a symmetric matrix and n in N then A^(n) is

If A and B are symmetric matrices of the same order then (A) A-B is skew symmetric (B) A+B is symmetric (C) AB-BA is skew symmetric (D) AB+BA is symmetric

If A is a skew-symmetric matrix and n is odd positive integer,then A^(n) is a skew-symmetric matrix a symmetric matrix a diagonal matrix none of these

If A and B are symmetric matrices,then ABA is (a) symmetric matric b) skew-symmetric matrix (c) diagonal matrix (d) scalar matrix

Which of the following statement is incorrect? Statement I: If A and B are symmetric matrices of order n, then AB+BA is symmetricand AB - BA is skew symmetric Statement Ill: |adj(adjA)|=|A|^((n-1)^(2))

express the following matrices as a sum of symmetric and skew symmetric matrices : (i) [{:(3,-7),(4,2):}]