(a)
The dimensions of the four subspaces if a 7 by 9 matrix has rank 5 and what is the sum of all four dimensions.
The four subspaces are:
The sum of all four subspaces is
Given:
A 7 by 9 matrix has rank 5.
Calculation:
A 7 by 9 matrix has rank 5, row and column space dimension is 5 and left nullspace is 4.
Thus, the
Calculate the value of
Calculate the value of
Therefore, the four subspaces are
Sum of all the subspaces is:
Therefore, the sum of all spaces is
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