Posición relativa de recta y plano 02 BACHILLERATO matemáticas Rouche

If this video helps you and you want unicoos to continue growing, SUBSCRIBE, click "Like," and SHARE it. If you also join us at http://www.unicoos.com, it will be great. #seeyouinclass :-) For the 2nd year of BACCALAUREATE, we will determine the RELATIVE POSITION of a LINE and a PLANE (secant, parallel, or coincident), this time using the Rouche-Frobenius Theorem and studying the rank of the matrix A and the extended matrix A* of the system of equations that make up the line (given as the intersection of two planes) and the general equation of the plane. If rank(A)=rank(A*)=3, the line will be SECANT to the plane (a given compatible system; they intersect at a point, a unique solution). If rank(A)=rank(A*)=2, the line will be CONTAINED in the plane (an indeterminate compatible system, it "cuts" the plane at infinite points, infinite solutions). If rank(A)≠rank(A*), the line will be PARALLEL to the plane (an indeterminate incompatible system, it does not cut the plane at any point, it has no solution). CLARIFICATION: Since you ask this frequently, the sign you give to the entire column D is irrelevant, because what we are studying is the rank of the matrices. To do this, it is enough to know whether the determinants of the minors are equal to zero or not, regardless of whether their determinant gives a negative or positive result. It doesn't affect the range value at all, and you can do it your way or mine... #seeyouinclass If you'd like to see other similar videos, check out the lines and planes section of the website... http://www.unicoos.com/asignaturas/ma... Follow us on: YOUTUBE    / unicoos   FACEBOOK   / unicoos   (Like) TWITTER   / unicoos   (@unicoos) GOOGLE + http://www.google.com/+unicoos WEB http://www.unicoos.com And if you'd like to help me subtitle the videos in other languages, I'd be infinitely grateful... http://www.amara.org/es/profiles/vide...