System of Equations 04. 05. Chapter 04. 05
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Since there are no square submatrices of order 4 as
is a 3
4 matrix,
the rank of
is at most 3. So let us look
at the square submatrices of
of order 3; if any of these square submatrices have
determinant not equal to zero
, then the rank is 3. For example, a submatrix
of the augmented matrix
is
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