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Mathematics-2014: Answer Writing Challenge – 8

ARCHIVES

22 September 2014

 

MATRICES

 

 

1) Show that if a diagonal matrix is commutative with every matrix of the same order ,then it is necessarily a scalar matrix.

 

2) Find the possible square roots of the two rowed unit matrix I.

 

3) Show that the matrix B’AB is symmetric  or skew-symmetric according as A is symmetric or skew-symmetric.