Home
Class 12
MATHS
A={:[(1,2,1),(3,1,4)]:},B={:[(1,-1),(2,3...

`A={:[(1,2,1),(3,1,4)]:},B={:[(1,-1),(2,3),(-1,1)]:}`, verify (AB)'=B'A'

Text Solution

AI Generated Solution

To verify that \((AB)' = B'A'\) for the given matrices \(A\) and \(B\), we will follow these steps: ### Step 1: Define the Matrices Given: \[ A = \begin{pmatrix} 1 & 2 & 1 \\ 3 & 1 & 4 \end{pmatrix}, \quad B = \begin{pmatrix} 1 & -1 \\ 2 & 3 \\ -1 & 1 \end{pmatrix} \] ...
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    AAKASH INSTITUTE|Exercise Example 18|1 Videos

  • MATRICES

    AAKASH INSTITUTE|Exercise Example 19|1 Videos

  • MATRICES

    AAKASH INSTITUTE|Exercise Example 16|1 Videos

  • MATHEMATICAL REASONING

    AAKASH INSTITUTE|Exercise Assignment (SECTION-D) (Assertion-Reason Type Questions)|15 Videos

  • PERMUTATIONS AND COMBINATIONS

    AAKASH INSTITUTE|Exercise Assignment Section-J (Aakash Challengers Questions)|7 Videos

Similar Questions

Explore conceptually related problems

A={:[(1,2,3),(4,1,-1),(2,3,1)]:},B={:[(1,-1,1),(2,0,1),(1,1,1)]:} , verify (AB)'=B'A'.

If A={:[(1,2,3),(3,2,1)]:},B={:[(1,-1,4),(2,3,1)]:} , verify that (i) (B')'=B , (ii) (a-B)'=A'-B' (iii) (A+B)'=A'+B' , (iv) (kA)'=kA', where k is any constant (v) (2A+3B)'=2A'+3B'

A=[{:(2,1,2),(1,2,4):}] and B=[{:(4,1),(2,3),(1,2):}] Verify AB=BA or not.

If A=[(2,1),(1,0)],B=[(1,-1),(2,3)] , verify that : (A+B)^(2)!=A^(2)+2AB+B^(2)

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,-2,1),(2,1,3)] and B=[(2,1),(3,2),(1,1)] then (AB)' is equal to

If A[{:(3,-4),(1,1),(2,0):}] and B=[{:(2,1,2),(1,2,4):}] , then verify AB = BA or not?

If A=[[2,1,3],[4,1,0]], B=[[1,-1],[0,2],[5,0]] , verify that (AB)\'=B\'A\'

If A'=[(3,4),(-1,2),(0,1)] and B=[(-1,2,1),(1,2,3)] , then verify that (A+B)'=A'+B'

if A'=[{:(3,4),(-1,2),(0,1):}]and B=[{:(-1,2,1),(1,2,3):}], then verify that (i) (A+B)'=A'+B'(ii) (A-B)'=A'-B'