Skip to main content
calcu
.lol
Search
Ctrl K
Language
EN
English
English
EN
简体中文
ZH
Español
ES
العربية
AR
Português (Brasil)
PT
日本語
JA
Français
FR
Deutsch
DE
Home
›
Math & Algebra
›
Matrix Rank & Nullity
Matrix Rank & Nullity
Rank, nullity, and reduced row echelon form
Favorite
Print
Rows
2
3
4
5
Columns
2
3
4
5
Matrix A
rank(A) + nullity(A) = columns (n)
Rank
2
Nullity
1
Rank–nullity theorem
2 + 1 = 3
Rank-deficient
Singular (not invertible)
Reduced row echelon form
1
0
-1
0
1
2
0
0
0
Dimensions
3 × 3
Pivot columns
1, 2
Copy link
Matrix Rank & Nullity
Bar splitting the 3 columns into a rank part of 2 and a nullity part of 1, shown above the reduced row echelon form with pivot cells highlighted.
Rank–nullity theorem
Rank 2
Nullity 1
1
0
-1
0
1
2
0
0
0
