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The th column of an identity matrix is the unit vector, a vector whose th entry is 1 and 0 elsewhere. The determinant of the identity matrix is 1, and its trace is . The identity matrix is the only idempotent matrix with non-zero determinant. That is, it is the only matrix such that:
The Đại Việt sử ký toàn thư (chữ Hán: 大越史記全書; Vietnamese: [ɗâːjˀ vìət ʂɨ᷉ kǐ twâːn tʰɨ]; Complete Annals of Great Việt) is the official national chronicle of the Đại Việt, that was originally compiled by the royal historian Ngô Sĩ Liên under the order of the Emperor Lê Thánh Tông and was finished in 1479 during the Lê period.