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Question
Without expanding at any stage, find the value of:
`|(a,b,c),(a+2x,b+2y,c+2z),(x,y,z)|`
Solution
`|(a,b,c),(a+2x,b+2y,c+2z),(x,y,z)|`
`R_1"/"R_1 + R_3, R_2"/"R_2-R_3`
`= |(a+x, b+y,c+z),(a+x,b+y,c+z),(x,y,z)| = 0` (∵ R1 = R2)
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