• 12
• 10
• 10
• 13
• 10

# Ttake you a few minutes

This topic is 4643 days old which is more than the 365 day threshold we allow for new replies. Please post a new topic.

## Recommended Posts

i am wondering this matrix equation: setting F is a 4x4 matrix, M is a 3x3 transformation matrix, T is a translation vector and their inverses are bolded. FF = [ M | T ][ M | -MT ] [ 0 | 1 ][ 0 | 1 ] = [ MM | M(-MT)+T ]* [ 0 | 1 ] = [ I | 0 ] [ 0 | 1 ] = I *: Why this equation isn't [ MM | 0 ] but M(-MT)+T instead? [ 0 | 1 ] I would also like to ask if M/M is equivalent to M. Thank you=)

##### Share on other sites
[ M | T ][ M-1 | -M-1T ][ 0 | 1 ][ 0  | 1     ]=[ M*M-1 + T*0 | M*(-M-1T) + T*1 ][ 0*M-1 + 1*0 | 0*(-M-1T) + 1*1 ]=[ MM-1 | M(-M-1T) + T ][ 0   | 1            ]=[ I | -(MM-1)T + T ][ 0 | 1           ]