Question

using a hypothetical example Show that (A-1) A=I ?​

Answer 1

Answer:

We know that the multiplicative inverse of a real number a is a–1, and  

a

a

−

1

=

a

−

1

a

=

(

1

a

)

a

=

1

. The multiplicative inverse of a matrix is similar in concept, except that the product of matrix A and its inverse A–1 equals the identity matrix. The identity matrix is a square matrix containing ones down the main diagonal and zeros everywhere else. We identify identity matrices by In where n represents the dimension of the matrix. The next two equations are the identity matrices for a 2 × 2 matrix and a 3 ×3 matrix, respectively.

Step-by-step explanation:

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