Home
Class 12
MATHS
For the following matrices, verify that ...

For the following matrices, verify that `A(BC)=(AB)C`:
(i) `A=[{:(1,2,5),(0,1,3):}],B=[{:(2," "3,0),(1," "0,4),(1,-1,2):}]" and "C=[{:(1),(4),(5):}]`
(ii) `A=[{:(2,3,-1),(3,0," "2):}],B=[{:(1),(1),(2):}]" and "C=[1-2]`

Promotional Banner

Similar Questions

Explore conceptually related problems

Verify that A(B+C)=(AB+AC), when (i) A=[{:(1,2),(3,4):}],B=[{:(2," "0),(1,-3):}]" and "C=[{:(1,-1),(0," "1):}]. (ii) A=[{:(2,3),(-1,4),(0,1):}],B=[{:(5,-3),(2," "1):}]" and "C=[{:(-1,2),(" "3,4):}].

If A=[{:(1,2),(-2,1):}],B=[{:(2,3),(3,-4):}] and C=[{:(1,0),(-1,0):}] , verfity (i) A(B+C)=AB+AC.

If A=[{:(1,2),(-2,1):}],B=[{:(2,3),(3,-4):}] and C=[{:(1,0),(-1,0):}] , verfity (i) A(B+C)=AB+AC.

For the matrices A and B, verify that (AB)'=B'A. (i) A=[{:(1),(3),(6):}],B=[2" "4," "5] (ii) A=[{:(5,3,-1),(2,0,4):}]B=[{:(-3,2),(2,1),(-1,0):}]

If A=[{:(2,1),(-1,3):}],B=[{:(2,3),(1,1):}]andC=[{:(1,0,2),(-2,3,0):}] verify (i) (A+B)C=AC+BC (ii) (AB)C=A(BC)

Given A=[{:(,2,1),(,3,0):}], B=[(1,1),(5,2)] and C=[{:(,-3,-1),(,0,0):}] , find (i) 2A-3B+C (ii) A+2C-B

Let A=[{:(0,1,-2),(5,-1,-4):}],B=[{:(1,-3,-1),(0,-2," "5):}]" and "C=[{:(2,-5,1),(-4," "0,6):}]. Compute 5A-3B+4C.

If A=[{:(1,2),(-2,1):}],B=[{:(2,3),(3,-4):}]andC=[{:(1,0),(-1,0):}] verify (i) (A*B)*C=A*(BC) (ii) A*(B+C)=AB+AC

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

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