Ex 4.2, 4 - Chapter 4 Class 12 Determinants
Last updated at Jan. 22, 2020 by Teachoo
Last updated at Jan. 22, 2020 by Teachoo
Transcript
Ex 4.2, 4 Using the property of determinants and without expanding, prove that: |โ 8(1&๐๐&๐(๐+๐)@1&๐๐&๐(๐+๐)@1&๐๐&๐(๐+๐))| = 0 |โ 8(1&๐๐&๐(๐+๐)@1&๐๐&๐(๐+๐)@1&๐๐&๐(๐+๐))| = |โ 8(1&๐๐&๐๐+๐๐@1&๐๐&๐๐+๐๐@1&๐๐&๐๐+๐๐)| C3 โ C3 + C2 = |โ 8(1&๐๐&๐๐+๐๐+๐๐@1&๐๐&๐๐+๐๐+๐๐@1&๐๐&๐๐+๐๐+๐๐)| Taking (๐๐+๐๐+๐๐) common from C3 = (๐๐+๐๐+๐๐) |โ 8(๐&๐๐&๐@๐&๐๐&๐@๐&๐๐&๐)| C1 and C3 is same = 0 By Property: if any two row or columns of a determinant are identical then value of determinant is zero
Two rows or columns same
Two rows or columns same
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