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Example 12 - Chapter 4 Class 12 Determinants (Term 1)
Last updated at March 16, 2023 by Teachoo
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Chapter 4 Class 12 Determinants
Serial order wise
Transcript
Example 12 Without expanding, prove that β = |β 8(π₯+π¦&π¦" + z" &π§+π₯@π§&π₯&π¦@1&1&1)| = 0 |β 8(π₯+π¦&π¦" + z" &π§+π₯@π§&π₯&π¦@1&1&1)| Applying R1 β R1 + R2 = |β 8(π₯+π¦+π§&π₯+π¦+π§&π₯+π¦+π§@z&π₯&π¦@1&1&1)| Taking (x + y + z) common from R1 = (x + y + z) |β 8(1&1&[email protected]π§&π₯&π¦@1&1&1)| R1 and R3 are identical = 0 By Property: if any two row or columns of a determinant are identical then value of determinant is zero
