ch2 - Inverse and Transpose

[cprasad111]

Describe the mistake Superscript to denote matrix inverse should be -1. Instead -T is used

Location Definition 2.5 Given A = A^T (A^-1)^T = (A^T)^-1 := A^-T

Proposed solution Should the right most expression be A^-1 instead of A^-T i.e. (A^-1)^T = (A^T)^-1 := A^-1

[AlbertoGuastalla]

In a symmetric matrix A, the inverse and the transpose operations are commutatives. Therefore this superscript denoting transpose and inverse or inverse and then transpose is correct.

[cprasad111]

I agree on the inverse and transpose are commutative. I don't understand what A^-T means. T means transpose and -1 means inverse. What does -T in the superscript means

[AlbertoGuastalla]

It's a shortcut meaning the composition of transpose and inverse operations.