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If a, b, c are non-zero real numbers, then the inverse of the matrix  is equal to

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Detailed Solution

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CONCEPT:

Inverse of a matrix: The Inverse of a n × n matrix is given by:

 where adj(A) is called adjoint matrix.

Adjoint Matrix: If Bn× n is a cofactor matrix of matrix An× n then the adjoint matrix of An× n is denoted by adj(A) and is defined as BT. So, adj(A) = BT.

CALCULATION:

Given:

We know that, 

⇒ |A| = [a (bc - 0) - 0(0) - 0(0)]

⇒ |A| = abc

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