- #1
LagrangeEuler
- 717
- 20
Matrix multiplication is defined by
[tex]\sum_{k}a_{ik}b_{kj}[/tex] where ##a_{ik}## and ##b_{kj}## are entries of the matrices ##A## and ##B##. In definition of orthogonal matrix I saw
[tex]\sum_{k=1}^n a_{ki}a_{kj}=\delta_{ij}[/tex]
This is because ##A^TA=I##. How to know how many independent parameters we have in the case of nxn orthogonal matrix? So how many parameters you need to give me in order to know the other ones?
[tex]\sum_{k}a_{ik}b_{kj}[/tex] where ##a_{ik}## and ##b_{kj}## are entries of the matrices ##A## and ##B##. In definition of orthogonal matrix I saw
[tex]\sum_{k=1}^n a_{ki}a_{kj}=\delta_{ij}[/tex]
This is because ##A^TA=I##. How to know how many independent parameters we have in the case of nxn orthogonal matrix? So how many parameters you need to give me in order to know the other ones?