Question

what is the inverse of the matrix| 1 0
0 1

Answer 1

The inverse of A is A-1 only when A × A-1 = A-1 × A = I.

To find the inverse of a 2x2 matrix: swap the positions of a and d, put negatives in front of b and c, and divide everything by the determinant (ad-bc).

Sometimes there is no inverse at all.

Answer 2

Answer:

If the determinant of the matrix is zero, then it will not have an inverse; the matrix is then said to be singular. Only non-singular matrices have inverses. Find the inverse of the matrix A = ( 3 1 4 2 ). result should be the identity matrix I = ( 1 0 0 1 ).

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