If matrix A symmetric, then A^n symm. for pos. int. n

[jas]

1.Prove that if A is symmetric , then A[sup:3fr7811q]n[/sup:3fr7811q] is symmetric for all +ve integral values of n
2. show that the elements on the main diagonal of a skew symmetric matrix are all zero
3.if A is matrix of order m*n and R is row of A, find order of R as a matrix
4. give an example of a matrix which is a lower triangular as well as upper triangular matrix
5.if A is any symmetric matrix , show that A[sup:3fr7811q]n[/sup:3fr7811q] , n E N is also symmetric

 

[Deleted member 4993]

Re: matrix

1.Prove that if A is symmetric , then A[sup:12c5z4c3]n[/sup:12c5z4c3] is symmetric for all +ve integral values of n
2. show that the elements on the main diagonal of a skew symmetric matrix are all zero

These should be all explained in your text book.

Otherwise, do a google search - and tell us what you found (with what key-words).