14. The minimal polynomial For an example of a matrix which
... that φ is nilpotent if φk = 0 for some positive integer k. The smallest such integer is called the order of φ. We say that a matrix is nilpotent if the corresponding linear function is nilpotent. Almost by definition, if A and B are similar matrices then A is nilpotent if and only if B is nilpotent ...
... that φ is nilpotent if φk = 0 for some positive integer k. The smallest such integer is called the order of φ. We say that a matrix is nilpotent if the corresponding linear function is nilpotent. Almost by definition, if A and B are similar matrices then A is nilpotent if and only if B is nilpotent ...
Lines and Planes
... Indeed, if we de…ne L (t) to be a vector-valued function, which is a function that maps inputs t to output vectors L (t) ; then a line in 2-dimensions is a vector valued function of the form L (t) = vt + b where b is a …xed point (= position vector ) on the line and v is a constant ...
... Indeed, if we de…ne L (t) to be a vector-valued function, which is a function that maps inputs t to output vectors L (t) ; then a line in 2-dimensions is a vector valued function of the form L (t) = vt + b where b is a …xed point (= position vector ) on the line and v is a constant ...
Grav. o. Kosm. Exercises No. 5 Notes on the
... there are 20 of them that are independent. This saves some time, in D = 4 it is still a lot of them, and we will have to use tricks every time to make it manageable. But is is good to know how to identify these. Take D = 3, where we have to repeat at least one index (since there are 3 different ones ...
... there are 20 of them that are independent. This saves some time, in D = 4 it is still a lot of them, and we will have to use tricks every time to make it manageable. But is is good to know how to identify these. Take D = 3, where we have to repeat at least one index (since there are 3 different ones ...
