MATRICE : IAS maths optional paper 1 Q1 (a) 2021 | prove tha A^2=A^-1 without finding A inverse

This Question is from Matrices and asked in upsc maths optional paper 1 Q1 (a) in 2021.
We have to show that square of A=inverse of A without finding inverse of A.
Now watch this video to learn ho to solve this problem.

upsc maths optional,ias maths optional,maths optional,mathematics optional,upsc maths optional paper 1,mathematics optional upsc,best ias mathematics optional coaching,mains mathematics optional paper,ims maths optional,how to prepare maths optional for mains,paper ii mathematics,maths #bsc optional upsc,ias maths,upsc mathematics optional paper 2022,maths optional syllabus,maths optional coaching,mathematics optional paper solutions-2019

how to find the inverse of a function,inverse,inverse of a function,find the inverse of a linear function,how to find the inverse of a linear function,inverse of a matrix,find the inverse of a function,how to find,inverse of matrix,how to find inverse,how to find a inverse of 3x3 matrices,shortcut method to find a inverse of 3x3 matrices,how to,inverse of 3x3 matrix,how to find inverse of a matrix,how to find the inverse of a relation,inverse of a 3x3 matrix
#bscmaths #maths #matrix #iasmaths #algebraofmatrices #matrices
#symmetric #upscmaths #adjoint