4.1 - Vector Spaces and Subspaces

This project was created with Explain Everything™ Interactive Whiteboard for iPad.

[Elijah_Hoenig]

Neat to see topics cross over with one another, I guess it would be a relief for a mathematician to discover that their work overlaps with something more understoond and concrete.

[alejandrochavarriagonzalez]

Manipulating things in a more theoretical way definitely makes it so it takes a little more work to understand, but I definitely think it is cool to see things from a different perspective. I am very excited to get into vector spaces since I wished calc 3 got into it more

[YasinFarid]

Correct me if I am wrong, but subspaces are like gardens filled with different types of flowers, and vectors are the individual petals that make up each bloom. Just as a garden flourishes with vibrant colors and patterns, subspaces thrive with diverse combinations of vectors.

[sarahstets]

Subspaces have been my favorite part of this class, its fun and interesting to see how something can span a subspace in a lot more detail then before that was just “It doesn’t have 3 so no span R^3” which seemed like a pretty simple binary concept. I also just don’t like the calculations stuff Calc(s) had, so being able to do fun interesting concepts in math with nothing more then algebra 1 makes it all the more fun since can just focus on the theorems without the stress of that.

[MukhtiarAhmed-kqef]

Is ky solve questions chahiye plzzzz 4.1 ky

[wizarddubstep]

A lot of our definitions seem to be the same from unit to unit.

[Khonan]

Sir can you share chapter 4 exercises with ma please?

[nicholaspisano]

Why can literally God dang everything be expressed as a vector field.