hi i need to know - how do you find the inverse of matrix B from: (I+B)^-1=I-B where I is the identity matrix, and B is a 4x4 square matrix. B in this case is: -7 0 0 8 -6 5 -4 5 -4 4 -3 3 -8 0 0 9 thanks to anyone who can help
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I think there is something wrong with the info because: (I+B)^-1=I-B <=> I = (I-B)*(I+B) <=> I = I + B -B -B^2 <=> I = I - B^2 <=> B^2 = 0 which means that B is nilpotent and therefore not invertible.
As you can see the given information is inconsistent.
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