
A blitzkrieg through decompositions of linear transformations
... From this example we conclude that whether or not a matrix is diagnalizable is a deeper story than just the characteristic polynomial. To understand what really matters we have to look at some more subtle polynomials that capture this phenomenon. Annihilating Polynomial for a linear transformation o ...
... From this example we conclude that whether or not a matrix is diagnalizable is a deeper story than just the characteristic polynomial. To understand what really matters we have to look at some more subtle polynomials that capture this phenomenon. Annihilating Polynomial for a linear transformation o ...
Gradient, divergence, curl, their integrals, and their role in
... The Curl or rotor of a vector field V(x, y, z) is another vector field curl V(x, y, z) which measure the vorticity of the V field. Specifically, the x component of the curl V measure the vorticity of the V field in the yz plane (and thus around the x axis), and likewise for the y and z components. ...
... The Curl or rotor of a vector field V(x, y, z) is another vector field curl V(x, y, z) which measure the vorticity of the V field. Specifically, the x component of the curl V measure the vorticity of the V field in the yz plane (and thus around the x axis), and likewise for the y and z components. ...
Motion in accelerated reference frames
... A translationally accelerated reference frame is usually a frame defined by a moving vehicle of some kind, such as an accelerating car or elevator. Motion in such a frame can be investigated in the same way as motion in an inertial frame provided only that the fictitious force 1.32 is added to the rea ...
... A translationally accelerated reference frame is usually a frame defined by a moving vehicle of some kind, such as an accelerating car or elevator. Motion in such a frame can be investigated in the same way as motion in an inertial frame provided only that the fictitious force 1.32 is added to the rea ...
CBrayMath216-1-2-a.mp4 CLARK BRAY: OK, up to now, we`ve used
... And with that requirement satisfied, here's how you compute. If you want to compute an entry in the product matrix-here's product matrix C, the product for A times B-- the way you compute that entry is with this formula. It's a dot product. So think back to Math 212, by the way. A dot product means ...
... And with that requirement satisfied, here's how you compute. If you want to compute an entry in the product matrix-here's product matrix C, the product for A times B-- the way you compute that entry is with this formula. It's a dot product. So think back to Math 212, by the way. A dot product means ...