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Show that the matrix A = [[1 , a,alpha ,...

Show that the matrix `A = [[1 , a,alpha , aalpha],[1, b, beta, b beta ],[1 ,c,gamma ,cgamma ]]` is of renk 3
provided no two of a, b, c are equal and no two of `alpha ,beta,gamma `
are equal.

Text Solution

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To show that the matrix \[ A = \begin{bmatrix} 1 & a & \alpha & a\alpha \\ 1 & b & \beta & b\beta \\ 1 & c & \gamma & c\gamma \end{bmatrix} ...
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