From Example Problems
Jump to: navigation, search

Rank of A\leq 3\, since A is of 3rd order.


Since |A|=0\, rank of A<3\, i.e r(A)\leq 2\,

Consider the determinants of 2nd order submatrices







Since all 2nd order submatrices have zero determinants i.e 2nd order minors are all zero.

So r(A)<2\,

Since A is a non-zero matrix r(A)>0\,

Thus the rank of A is 1.

Main Page