Please help me with this advance linear algebra concept?

Question

Suppose instead of being given the consumption matrix M

for an economy we are given the matrix (I − M)^-1

How can we calculate the consumption Matrix M?

.

Update:

(a) How can you find M?

(b) Apply this method to find M if you’re given the marginal production response matrix

1.06 0.02 0.04

0.02 1.06 0.09

0.11 0.02 1.03

Answer 1

Missing information !

assume

A = (I − M)^-1

then

M = I - (A^-1)