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Question

The inverse of a matrix is defined for


A

Diagonal matrices

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B

Rectangular matrices

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C

Only square matrices

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D

all matrices

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Solution

The correct option is C

Only square matrices


By Definition:

If A is a square matrix of order , and if there exists another square

matrix B of the same order , such that AB = BA = I, then B is called the

matrix of A and it is denoted by A– 1. In that case A is said to be invertible.


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