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The maximum value of Delta=|(1,1,1),(1,1...

The maximum value of `Delta=|(1,1,1),(1,1+sin theta,1),(1+cos theta,1,1)|` is [`theta` is real numbers]

Text Solution

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`|(1,1,1),(1,1+sin theta, 1),(1+cos theta, 1,1)|`
`c_2-> c_2 - c_1`
`c_3 -> c_3 - c_1`
`|(1,0,0),(1,sin theta, 0),(1+cos theta, - cos theta, -cos theta)|`
`= 1(-sin theta cos theta)`
`= -(sin2 theta)/2`
`= 1/2`
Answer
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