Home
Class 12
MATHS
If A is a non-singular square matrix s...

If `A` is a non-singular square matrix such that `A^(-1)=[(5, 3),(-2,-1)]` , then find `(A^T)^(-1)` .

Text Solution

Verified by Experts

We have `(A^T)^(−1)=(A^(−1))^T=[(5, 3),(-2,-1)]^T`
=`[(5, -2),(3,-1)]`
Promotional Banner

Topper's Solved these Questions

  • ADJOINTS AND INVERSE OF MATRIX

    RD SHARMA|Exercise QUESTION|1 Videos

  • ALGEBRA OF MATRICES

    RD SHARMA|Exercise Solved Examples And Exercises|410 Videos

Similar Questions

Explore conceptually related problems

If A is a non-singular square matrix such that A^(2)-7A+5I=0, then A^(-1)

If A is a non-singular square matrix such that |A|=10 , find |A^(-1)|

If A is a non-singular matrix, then

If A is a non singular square matrix,then adj(adjA)=|A|^(n-2)A

If A is a non singular matrix; then prove that |A^(-1)|=|A|^(-1)

If A is a non-singular matrix of order nxxn such that 3ABA^(-1)+A=2A^(-1)BA , then

If A is a non-singular matrix, then A (adj.A)=

If A is a non-singular matrix,prove that (adjA)^(-1)=(adjA^(-1))

If A is a non-singular matrix,prove that (adjA)^(-1)=(adjA^(-1))