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what is invertiable matrix?

iit jee , 14 Years ago
Grade 12
anser 1 Answers
Amit Askiitiansexpert

Last Activity: 14 Years ago

Hi,

If a square matrix A has an inverse A-1, it is said to be invertible.  

In  mathematics and especially linear algebra, an n-by-n (square) matrix A is called invertible, non-singular, or regular if there exists another n-by-n matrix B such that

   AB = BA = In

where In denotes the n-by-n identity matrix and the multiplication used is ordinary matrix multiplication.

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Amit - IT BHU

 

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