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A First Course in Linear Algebra
· Problem C35
Determinants — Robert Beezer
Mathematics — Linear Algebra · rank-nullity
Problem
Find the rank and nullity of the matrix
A
=
[
1
0
1
1
2
2
2
1
1
−
1
0
1
1
1
2
]
.
A = \begin{bmatrix} 1 & 0 & 1 \\ 1 & 2 & 2 \\ 2 & 1 & 1 \\ -1 & 0 & 1 \\ 1 & 1 & 2 \end{bmatrix}.
A
=
1
1
2
−
1
1
0
2
1
0
1
1
2
1
1
2
.
Related theory
Consequences Of Rank Nullity For Finite Dimensions
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