Projections onto subspaces with orthonormal bases | Linear Algebra | Khan Academy

[@edwardhartz1029]

I couldn’t have excelled in linear algebra without your videos, so thank you profusely.

[@steveg12345678910]

I love orthonormal basis im saving so much computation ahh help

[@klevisimeri607]

Respect!

[@devangparekh28]

so does the remaining A x Atrans = I as well? seems to simplify everything

[@MrAsianGuy1]

No, since A is of mxn dimensions, only ATA simplifies to the identity matrix. If you were to examine AAT, you would see that it indeed does not simplify to the identify matrix, leaving us the projector.

[@turningheadfart]

nice

[@demetriusdemarcusbartholom8063]

ECE 485 UofA

[@Oshanii]

there's a mistake, the projection matrix is A*(A_trans*A)^-1*A_trans