Rank of a matrix Let's consider a rectangular matrix:
If to choose in this matrix arbitrarily
k
rows and
k
columns, where
then elements costing on an intersection of these rows and columns, form a square matrix of the
k-
th order. The determinant of this matrix is called a
minor
of the
k
-th order of a matrix
A
.
S o l u t i o n . The left fourth order minor of the given matrix is equal to
Consequently, the rank of the matrix is equal 4. |
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>> Rank of matrix