`A=[[x],[y],[z]]` and `B=[a,b,c],` find `AB` and `BA`

If A=[x y z] , B=[[x],[y],[z]] , find AB and its order.

If A, B, C are three matrices such that A=[x,y,z], B= [[a,h,g], [h,b,f],[g,f,c]] and C=[[x],[y],[z]] verify that (AB)C=A(BC)

In Figure AB||DC , if x=(4y)/3 and y=(3z)/8, find /_B C D ,/_A B C and /_B A Ddot

If A=[(1,0),(2,0)] and B=[(0,0),(1,12)] then= (A) AB=0, BA=0 (B) AB=0,BA!=0 (C) AB!=0,BA=0 (D) AB!=0,BA!=0

If A=[(1,0,),(2,0)] and B=[(0,0),(1,12)] then= (A) AB=0, BA=0 (B) AB=0,BA!=0 (C) AB!=0,BA=0 (D) AB!=0,BA!=)

If a^x=b,b^y =c,c^z=a , find the value of xyz.

If x=(a-b)/(a+b), y=(b-c)/(b+c) and z=(c-a)/(c+a) , find the value of ((1+x)(1+y)(1+z))/((1-x)(1-y)(1-z))

If A and B are two matrices such that AB=B and BA=A then A^2+B^2= (A) 2AB (B) 2BA (C) A+B (D) AB

If x+y+z=0 prove that |[a x, b y, c z],[ c y, a z ,b x],[ b z ,c x ,a y]|=x y z|[a, b, c],[c ,a ,b],[b ,c ,a]|

If x+y+z=0 prove that |[a x, b y, c z],[ c y, a z ,b x],[ b z ,c x ,a y]|=x y z|[a, b, c],[c ,a ,b],[b ,c ,a]|