
What is the explanation behind matrices in Algebra?
Sep 20, 2005 · Matrices are important because a great many things can be represented as matrices. The first example people learn is that of a linear transformation, when dealing with …
Why Do Algebraic Rules Not Work the Same with Matrices?
Jan 20, 2013 · Homework Statement Explain why each of the following algebraic rules will not work in general when the real numbers a and b are placed by nxn matrix A and...
Verifying Invertible Matrices Formulas - Physics Forums
Oct 5, 2008 · Homework Statement Determine which of the formulas hold for all invertible nxn matrices A and B: (a) (A+A -1) 8 =A 8 +A -8 (b) A + I n in invertible (c) AB=BA (d) (A+B) (A-B) …
What Is a Tensor? The mathematical point of view.
Jan 26, 2025 · And as we can do more with matrices, than we can do with scalars, we can do even more with tensors, because a cube of numbers, or even higher dimensional arrays of …
How Do Matrices Influence Forms and Dimensions in Geometry?
Jun 20, 2003 · Greetings ! Can anyone please explain to me, preferably with as little math and as much theory as possible , how matrices work in terms of forms and dimensions and what's the …
Understanding Matrices and Vectors: Operations, Significance, and ...
Jul 24, 2008 · Understanding Matrices and Vectors: Operations, Significance, and Applications okkvlt Jul 24, 2008 Matrices Work Click For Summary
What properties do matrices need to have to ensure their product …
Jun 10, 2008 · Pick matrices that have no more properties than they actually NEED to have. Avoid examples that are diagonal. That's what went wrong in b). One of the matrices is diagonal and …
Difference between Tensors and matrices - Physics Forums
Jan 10, 2015 · They look a lot like matrices, and seem to work exactly like matrices. What is the difference between them? I have only worked with matrices, not tensors because I can't find a …
How Do You Write Matrices in the Gummi LaTeX Editor?
Mar 25, 2015 · What are some examples of writing matrices in the Gummi latex editor? Something about the syntax used on the forum doesn't work for me when used in Gummi.
Does a set of matrices form a ring? Or what is the ... - Physics Forums
Nov 1, 2022 · Square matrices are closed under addition and their own form of multiplication, but in general do not commute. What algebraic structure then describes this, along with …