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Geometry/Compute the Inverse of a Matrix Having Complex Numbers

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Question
Dear Prof Azeem

Can we compute inverse of a 3*3 matrix having all complex numbers?

Thanks
Prashant

Answer
Hi Prashant,

We can!  If a matrix is invertible, then its inverse may be found by performing elementary row operations (among other methods).  None of the elementary row operations change when we use complex numbers, so you could compute the inverse using the same techniques you would use for a matrix with real entries.

Thanks for asking,
Azeem

Geometry

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Azeem Hussain

Expertise

I welcome your questions on algebra, 2D and 3D geometry, parabolic functions and conic sections, and any other mathematical queries you may have.

Experience

4 years as a drop-in and by-appointment tutor at Champlain College. Private tutor for dozens of clients over the past 8 years.

Publications
CALPHAD: Computer Coupling of Phase Diagrams and Thermochemistry

Education/Credentials
Bachelor of Science, Major Mathematics and Major Economics, McGill University, 2014. Diploma of Collegiate Studies; Pure and Applied Science, Champlain College Saint-Lambert, 2010.

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