Calculus 3: Tensors (2 of 28) Tensors Represented in a Matrix

In this video I will explain and visually show how tensors, scalar, vector, dyad, and triad, are represented by a matrix.

Next video in the series can be seen at:

[brendanward]

0:13 - You meant to say "a tensor of rank zero, or a scalar".

[ahmettahiri]

Many Thanks Sir, I was one of those whom asked for tensors, thank you so so much

[mohammadnazrulislamkhan]

Does square root of tensor of type (1, 1) exist?

[rousseljo]

Not an easy subject to deal with. Actually when i check for applications of tensor, it is mentioned everywhere that the stiffness tensor c is a 4th order tensor with 81 components. It is the result of strain (9 components) and stress (9 components). This stiffness tensor relates to Hooke's law. Hope it can help in demystifying the subject.

[hawraaraheem]

İs there an example or solving problems in this and before vedioes in stress and velocity in fluid mechanics because I'm confused and need more please 🥺

[robertbrandywine]

At 00:10 you said a scalar of rank-1 but in the previous video you said scalars were rank-0.

[nellvincervantes]

The triad is hard to visualize sir. 27 components but how would you draw those components on an object?

[amythestgemini]

If I am ready to take calculus on but im not very good at trig but I understand the basics but I am not good at trig can I still do calculus?

[bharathegde]

Great! Excited about the this playlist!

[chisomelodi]

I thought scalar is of rank zero not one.

[JenniferBrown-ryqg]

AMAZING, simple and understandable ;) thank you very much

[paaaaaaaaq]

Is there general markings for all the tensor?

[surajdevadasshankar]

Would this intro to tensors series suffice to begin general relativity? If not, are there any more courses/playlists I need to look into? Could you make a GR playlist?

[hfe]

I came here to review for tensor, great

[Silver_Anchor]

You are a saint, sir. Thank you for having information about tensors as matrices.