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Write the value of |(x+y,y+z,z+x),(z,x,y...

Write the value of `|(x+y,y+z,z+x),(z,x,y),(-3,-3,-3)|`

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Given,`|(x+y,y+z,z+x),(z,x,y),(-3,-3,-3)|`
applying`R_1->R_1+R_2`
=`|(x+y+z,x+y+z,x+y+z),(z,x,y),(-3,-3,-3)|`
=`(x+y+z)|(1,1,1),(z,x,y),(-3,-3,-3)|`
=`0`
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