सिद्ध कीजिए कि
`|{:(y+k,y,y),(y,y+k,y),(y,y,y+k):}|=k^(2)(3y+k).`

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)

Using the properties of determinats, show 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).

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 ) ]:} =k^(2) ( 3y +k )

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 ) |:} =k^(2) ( 3y +k )

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)|=k^2(3y+k)