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" (ii) "|[y+k,y,y],[y,y+k,y],[y,y,y+k]|=...

" (ii) "|[y+k,y,y],[y,y+k,y],[y,y,y+k]|=k^(2)(3y+k)

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By using properties of determinants, prove that |[y+k,y,y],[y,y+k,y],[y,y,y+k]|=k^2(3y+k)

Prove that : |[y+k,y,y],[y,y+k,y],[y,y,y+k]|=k^2(3y+k).

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By using properties of determinants. Show that: (i) |(x+4,2x,2x),(2x,x+4,2x),(2x,2x,x+4)|=(5x-4)(4-x)^2 (ii) |(y+k,y,y),(y,y+k,y),(y,y,y+k)|=y^2(3y+k)

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show that |{:(y+k,y,y),(y,y+k,y),(y,y,y+k):}|=k^(2)(3y+k)

Using the property of determinants andd without expanding in following exercises 1 to 7 prove that |{:(y+k,y,y),(y,y+k,y),(y,y,y+k):}|=k^2(3y+k)