A First Course in Linear Algebra · Problem C37

Determinants — Robert Beezer

Mathematics — Linear Algebra · rank-nullity

Problem

Find the rank and nullity of the matrix A=[3211123011−11210110110112−1].A = \begin{bmatrix} 3 & 2 & 1 & 1 & 1 \\ 2 & 3 & 0 & 1 & 1 \\ -1 & 1 & 2 & 1 & 0 \\ 1 & 1 & 0 & 1 & 1 \\ 0 & 1 & 1 & 2 & -1 \end{bmatrix}.

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