MathAlgebraLinear algebraSystems of linear equations

Calculating matrix rank

Bounding minors method

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Imagine that you have a $6\times6$ matrix. You've decided to calculate its rank using the bounding minors method. You've found a non-zero element, so you decided to check its bounding minors of the $2^{nd}$ order. The first bounding minor you have checked is equal to $0$ . Can you stop now and conclude that the rank of the matrix is equal to $1$ ?

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Yes

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