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4. Determinants
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Q12 of 127 Page 119

R1 → R1 - xR2 (i.e. replace 1st row by subtraction of 1st row and ‘x’ times 2nd row)


Taking (1 - x3) outside the determinant from 1st row


.


Expanding the determinant along 1st row



HS = (1 - x3)2 = RHS


∴


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