witout expanding at any stage Prove that
`|{:(0,,a,,-b),(-a,,0,,-c),(b,,c,,0):}| =0`

Prove that : |{:(0,a-b,a-c),(b-a,0,b-c),(c-a,c-b,0):}|=0

Prove that : |{:(0,a-b,a-c),(b-a,0,b-c),(c-a,c-b,0):}|=0

Without expanding at any stage, find the value of |(0,a,-b),(-a,0,c),(b,-c,0)| .

Without expanding the determinant prove that: {:|(0,a,-b),(-a,0,-c),(b,c,0)|:}=0

Using the property of determinants andd without expanding in following exercises 1 to 7 prove that |{:(0,a,-b),(-a,0,-c),(b,c,0):}|=0

Without expanding at any stage, prove that |(0,99,-998),(-99,0,997),(998,-997,0)|=0

Without expanding at any stage, prove that |(a-b,1,a),(b-c,1,b),(c-a,1,c)| = |(a,1,b),(b,1,c),(c,1,a)|

Show without expanding at any stage that: [0,a,-b],[-a,0,-c],[b,c,0]|=0

Using the property of determinants and without expanding prove that {:|( 0,a,-b),(-a,0,-c),( b,c,0) |:}=0

Without expanding at any state, prove that |(1,bc,a(b+c)),(1,ca,b(c+a)),(1,ab,c(a+b))|=0