Practice question · Fill in the blanks
Complete the statement with the correct term.
The rank of a matrix equals the number of ______ in its row echelon form.
Word bank: eigenvalue · unit · rank · pivots
Hints
- The term names the leading nonzero entry of each reduced row.
- Counting them gives the rank.
Show the answer
The rank of a matrix equals the number of pivots in its row echelon form.
Why
Pivots are the leading nonzero entries; their count equals the rank.
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