67. If each entry *p ij * of an *n* x *n* correlation matrix R satisfies -1...

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67. If each entry *pij* of an *n* x *n* correlation matrix R satisfies -1 ≤ *pij* ≤ 1, show that

|R| = 0 if and only if at least one *pij* for *i ≠ j* is equal to plus or minus unity.

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