MathAlgebraLinear algebraSystems of linear equations

Calculating matrix rank

Missing element

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You’re given a $3 \times 3$ matrix with one missing element $\begin{pmatrix} 5 &-3& 2\\ 15 &-9 &6\\ 0 &0 &a \end{pmatrix}$ . What is the highest possible rank of the matrix? $a$ can be any real number.

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