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Determining whether a matrix is invertible

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This solution is comprised of a detailed explanation to answer matrix problems.

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1. Determine whether or not matrix B is the inverse of matrix A. A and B are both inside their respective bracket.

[0 -2] [1/6 -5/18]
A= B=
[9 1] [-1/6 1/3]

Ans.
If B is the inverse of A then AB= I
Here

Thus B is not the inverse of A

2. Which is a singular matrix?

...

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