If rank is a number associated with a matrix which is the highest order of non-singular sub matr...

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If rank is a number associated with a matrix which is the highest order of non-singular sub matrix then prove that
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If the matrix \( A=\left[\begin{array}{ccc}y+a & b & c \\ a & y+b & c \\ a & b & y+c\end{array}\right] \) has rank 3 , then \( y \neq-(a+b+c) \) and \( y \neq 0 \)
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