Sizing parentheses appropriately ....

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Math Amateur
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Can someone please help me to size the parentheses so they stretch appropriately around the column vectors in the expression/equation:

$$\text{det} ( v_1, \cdot \cdot \cdot , v_n ) = \text{det} ( \begin{bmatrix} a_{ 11} \\ \ \\ . \\ . \\ . \\ \ \\ a_{n1} \end{bmatrix} , \cdot \cdot \cdot , \begin{bmatrix} a_{ 1n} \\ \ \\ . \\ . \\ . \\ \ \\ a_{nn} \end{bmatrix} )$$Help will be appreciated ...

Peter
 
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Use the \left and \right delimiters. Also, it helps to use \ldots, \cdots or \vdots rather than individual dots.

$$\det ( v_1, \ldots , v_n ) = \det \left(\ \begin{bmatrix} a_{ 11} \\ \vdots \\ a_{n1} \end{bmatrix} , \ldots , \begin{bmatrix} a_{ 1n} \\ \vdots \\ a_{nn} \end{bmatrix}\ \right)$$
 
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Opalg said:
Use the \left and \right delimiters. Also, it helps to use \ldots, \cdots or \vdots rather than individual dots.

$$\det ( v_1, \ldots , v_n ) = \det \left(\ \begin{bmatrix} a_{ 11} \\ \vdots \\ a_{n1} \end{bmatrix} , \ldots , \begin{bmatrix} a_{ 1n} \\ \vdots \\ a_{nn} \end{bmatrix}\ \right)$$

Thanks for the help, Opalg ...

Peter