what kind of field every matrix can be written in the Jordan canonical form and what is the cuadratic form?
rotation of axes. the general equation of the second degree.
suppose that we make a transformation of coordinates from an xy- system to an x'y'-system in the follwing way. the origin is kept fixed, and the x' and y' axes are obtained by rotating the x- and y axes counterclockwise an amount 'o', .every point p will have coordinates (x,y) with respect to the original sydtem and coordinates (x',y') with respect to the new system. we now find the relationship between (x,y) and x',y'. draw the lines OP, AP, and BP and note that x= op, y y=AP, x'=OB , Y' =BP.