MathAlgebraLinear algebraSystems of linear equations

Matrix rank

Nonzero matrix?

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Which of the matrices below has its rank equal to zero?

Select one option from the list

\begin{pmatrix} 2 & 2\\ 1 & 1 \end{pmatrix}

\begin{pmatrix} 1 & 1\\ 1 & 1 \end{pmatrix}

\begin{pmatrix} 0 & 0\\ 1 & 1 \end{pmatrix}

None of the above: nonzero matrix always have nonzero rank

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