Q20 of 110 Page 260

Using properties of determinants prove that:



[R1’ = xR1 & R2’ = yR2]


[R1’ = R1 + R2 - R3]


= (1/xy)[0 + 0 + (ax2 + 2bxy + cy2){by(bx + cy) - cy(ax + by)}[expansion by first row] .


= (1/xy)( ax2 + 2bxy + cy2)(b2xy + bcy2 - acxy - bcy2)


= (b2 - ac)(ax2 + 2bxy + cy2)


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