MHB Matrix Operations: Solving for A+B, AB, BA, AC, and CA

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karush
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https://www.physicsforums.com/attachments/8970
ok I think I did these are ok but knowing how tedious it is might be some typos
also does this work if you have different unequal rows for example if A had 3 rows and B had 2 rows

the pic is just a snip from my overleaf doc. I used macros to avoid long latex code in the bmatrix

mocho mahalo
 
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They look good go me. Well done!
 
make me feel young again !
 
Thread 'How to define a vector field?'

Thread 'How to define a vector field?'

Hello! In one book I saw that function ##V## of 3 variables ##V_x, V_y, V_z## (vector field in 3D) can be decomposed in a Taylor series without higher-order terms (partial derivative of second power and higher) at point ##(0,0,0)## such way: I think so: higher-order terms can be neglected because partial derivative of second power and higher are equal to 0. Is this true? And how to define vector field correctly for this case? (In the book I found nothing and my attempt was wrong...
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