For any real number a , a ≠ 0 , show that | a + 1 a + 4 a + 7 a + 2 a + 5 a + 8 a + 3 a + 6 a + 9 | = 0 , | a 4 a 7 a 2 a 5 a 8 a 3 a 6 a 9 a | = 0 , and | a a 4 a 7 a 2 a 5 a 8 a 3 a 6 a 9 | = 0 .
For any real number a , a ≠ 0 , show that | a + 1 a + 4 a + 7 a + 2 a + 5 a + 8 a + 3 a + 6 a + 9 | = 0 , | a 4 a 7 a 2 a 5 a 8 a 3 a 6 a 9 a | = 0 , and | a a 4 a 7 a 2 a 5 a 8 a 3 a 6 a 9 | = 0 .
Solution Summary: The author explains how to prove a is an (ntimes n-) matrix, and if two columns or rows are identical, determinant of the matrix is zero.
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