MathAlgebraLinear algebraSystems of linear equations

Calculating matrix rank

Equal rank

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Which of the matrices have the same rank as the matrix $\begin{pmatrix} 1 & 2\\ 3 & 4 \end{pmatrix}$ .

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\begin{pmatrix} 5 & 0 & 0& 2\\ 0 & 7 & 0&0\\ 5 & 13 & 0&2\\ 0 & 13 & 0&0 \end{pmatrix}

\begin{pmatrix} 2 & 0 & 1\\ 3 & 5 & 0\\ 0 & 6 & 6 \end{pmatrix}

\begin{pmatrix} 1 & 0\\ 3 & 0 \end{pmatrix}

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

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