the inverse exits only for non.-singular metrix
Answers (2)
27th Aug, 2020
Hi Student,
A non-singular matrix is a square one whose determinant is not zero. Mathematically, An n x n(square) matrix A is called non-singular if there exists an n x n matrix B such that AB = BA = In where In is an indentity matrix of order n.
Yes! A non-singular matri is also invertible matrix and ao the inverse exists only for non-singular matrix.
All the best.
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27th Aug, 2020
Hello,
Yes inverse exists iff determinant of the matrix is not equal to 0(i.e matrix should be non-singular).
Other conditions include that matrix should be square(i.e equal numbers of rows and columns).
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