If `|(a,a,x),(m,m,m),(b,x,b)|=0` then `x=`

If det[[a,a,xm,m,mb,x,b]]=0 then x=

If det[[a,a,xm,m,mb,x,b]]=0 then x=

If det[[a,a,xm,m,mb,x,b]]=0 then x=

Prove that |{:(a, a, x), (m, m, m), (b, x, b):}|=m(x-a)(x-b)

Prove that abs((a,a,x),(m,m,m),(b,x,b))=m(x-a)(x-b)

If |a a x m m m b x b|=0,\ then x may be equal to- a. a b. b c. a+b d. m

Let matrix M(x) = [(0, (x-a), (x-b)), ((x+a),0,(x-c)),((x+b),(x+c),0)] , then the matrix (M(0)) (M(0))^T (a, b, c !=0) , is (A) null matrix (B) skew-symmetric matrix (C) orthogonal matrix (D) symmetric matrix

Solve the following : [[x,a,a],[m,m,m],[b,x,b]] =0

Roots of the equations |{:(x,,m,,n,,1),(a,,x,,n,,1),(a,,b,,x,,1),(a,,b,,c,,1):}|=0 are