# By a (natural) logarithm of a matrix B we mean a matrix A such that eA B. (a) Explain

## Question:

(a) Explain why only nonsingular matrices can have a logarithm.

(b) Comparing Exercises 9.4.6-8, explain why the matrix logarithm is not unique.

(c) Find all real logarithms of the 2 x 2 identity matrix

Use Exercise 9.4.21.

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