Home
Class 12
MATHS
if A=[{:(0),(1),(2):}]and B=[3" "2" "1],...

`if A=[{:(0),(1),(2):}]and B=[3" "2" "1],`then show that :
`(AB)'=B'A'`

Promotional Banner

Similar Questions

Explore conceptually related problems

(i) if A=[{:(1,-4),(3,1):}]and b=[{:(1,0,5),(-2,4,3):}], then show that : (AB)'=B'A' (ii) if A=[{:(2,3),(0,1):}]and B=[{:(3,4),(2,1):}], then prove that : (AB)'=B'A'

if A=[{:(1,0,-3),(2,3,4),(-4,5,-2):}]and b=[{:(3,0,-1),(2,5,-4),(4,-1,2):}], then show that : (AB)'=B'A'

if A=[{:(1,0,-3),(2,3,4),(-4,5,-2):}]and b=[{:(3,0,-1),(2,5,-4),(4,-1,2):}], then show that : (AB)'=B'A'

(i) if A=[{:(1,0),(0,1):}],B=[{:(0,1),(1,0):}]and C=[{:(1,0),(0,1):}], then show that A^(2)=B^(2)=C^(2)=I_(2). (ii) if A=[{:(1,0),(1,1):}],B=[{:(2,0),(1,1):}]and C=[{:(-1,2),(3,1):}], then show that A(B+C)=AB+AC. (iii) if A=[{:(1,-1),(-1,1):}]and B=[{:(1,1),(1,1):}], then show that AB is a zero matrix.

(i) if A=[{:(1,0),(0,1):}],B=[{:(0,1),(1,0):}]and C=[{:(1,0),(0,1):}], then show that A^(2)=B^(2)=C^(2)=I_(2). (ii) if A=[{:(1,0),(1,1):}],B=[{:(2,0),(1,1):}]and C=[{:(-1,2),(3,1):}], then show that A(B+C)=AB+AC. (iii) if A=[{:(1,-1),(-1,1):}]and B=[{:(1,1),(1,1):}], then show that AB is a zero matrix.

If A=[{:(3,-1),(1,-3):}]" and B"=[{:(2,1),(-1,-2):}]," then show that" : (AB)^(-1)=B^(-1)A^(-1)

If A=[{:(3,-1),(1,-3):}]" and B"=[{:(2,1),(-1,-2):}]," then show that" : (AB)^(-1)=B^(-1)A^(-1)

if A=[(1,2),(3,4):}],B=[{:(-1,0),(2,3):}]and C=[{:(1,-1),(0,1):}], then show that : (i) A(B+C)=AB+AC (ii) (A-B)C=AC-BC.

if A=[(1,2),(3,4):}],B=[{:(-1,0),(2,3):}]and C=[{:(1,-1),(0,1):}], then show that : (i) A(B+C)=AB+AC (ii) (A-B)C=AC-BC.

if A=[{:(2,-3),(1,4):}],B=[{:(-1,0),(1,2):}], C=[{:(3,1),(1,2):}] , then show that A (BC)=(AB)c.