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linear algebra - Are one-by-one matrices equivalent to scalars ...
Sep 16, 2011 · Long Answer Short: A 1 × 1 matrix is not a scalar–it is an element of a matrix algebra. However, there is sometimes a meaningful way of treating a 1 × 1 matrix as though it were a scalar, hence in many contexts it is useful to treat such matrices as being "functionally …
Other content from math.stackexchange.comIs a 1×1 matrix a scalar? - Interactive Mathematics
See more on intmath.comWe learn in the Multiplying Matrices section that we can multiply matrices with dimensions (m × n) and (n × p) (say), because the inner 2 numbers are the same (both n). The result will be a vector of dimension (m × p)(these are the outside 2 numbers). Now, in Nour's example, her matrices A, B and Chave dimensions 1x3…- bing.com/videosWatch full video
Do you consider (1x1) matrix as scalar and why? : r/math - Reddit
A matrix is defined over its algebraic structure (or it can be viewed as part of one itself, w/e). So if you define A ∈ ℝ 1x1 where ℝ is the field of real numbers, then you are essentially defining A …
matrices - is a one-by-one-matrix just a number (scalar)?
No, a one-by-one matrix is not a scalar. Let's assume you want to multiply a one-by-one matrix [c] with a 3x3 matrix A. To do this realize, that you can always extend a matrix to fit the …
Is there a difference between a 1x1 matrix and a scalar?
Sep 4, 2012 · On one hand, matrix math only works for MxN times NxO matrices, so a 1x1 times NxM doesn’t work for N not equal to 1 if you don’t handwave them to scalars, which can be …
A 1x1 matrix is a scalar. A null matrix has 0 for all of its entries. If the number of rows of a matrix is the same as the number of its columns, then it is a square matrix.
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if a variable has the dimension 1 x 1 is it a matrix, scalar, row or ...
Sep 6, 2019 · Typically, one would say it is scalar, but all the builtin number types in ML are an array in their implementation, just that the unity value in all dimensions results in a degenerate …
1x1 Matrix is a scalar? - Physics Forums
Sep 10, 2024 · TL;DR Summary: 1x1 Matrix is scalar or not? I've seen dot product being represented as a (nx1 vector times a (mx1)^T vector. This gives a 1x1 matrix, whereas the dot …
Are there any differences between a one-by-one matrix and a …
I would say the difference is that a scalar is a number, whereas a 1x1 matrix is a linear map (corresponding to multiplication by the number). So in a general sense, a scalar is a member …
Why are isscalar, isvector and ismatrix all true for A = 1?
Sep 1, 2014 · It is true that a single number could be considered a scalar, a 1-vector or a 1x1 matrix. Matlab's view is: A scalar is considered to be a 1x1 matrix. An n -vector is just a 1 x n or …
Scalar, Vector, Matrix - Math is Fun
A scalar is a number, like 3, -5, 0.368, etc, A vector is a list of numbers (can be in a row or column), A matrix is an array of numbers (one or more rows, one or more columns).
Isomorphism: What's the Difference Between 1x1 Matrices and …
Sep 19, 2009 · Technically the product of a 1x1 matrix and say a 2x3 matrix is undefined. It is not impossible to redefine the tensor algebra so that 1x1 matrices and scalars are equal rather …
Is a 1x1 matrix a scalar? Is it triangular? : r/learnmath - Reddit
I'd say in most contexts, a 1x1 matrix is technically not a scalar but can probably be treated identically to one because for any purpose where you want a scalar you can just modify your …
Interpretation of a 1x1 matrix, rank 1 vector, and a scalar?
Jan 17, 2019 · In Mathematica's view, this is NOT a scalar, since it's a list. Subsequently, trying to multiply by a vector as a normal product will lead to an error, and we must use Flatten to …
matrices - Proof that scalar is equal to 1x1 matrix? - Mathematics ...
Jan 15, 2022 · You do your factorization by \begin{bmatrix} 1 \\ 1 \\ 1 \end{bmatrix} with two different operations: a matrix multiplication and a multiplication by a scalar; which is not right.
matrices - Can a constant be considered as 1x1 matrix?
The scalar multiplication operation is useful because of convenience/concisiveness. If the scalar is an integer s, s*M = M+M+..+M (s times). Sure we can do away with it by always using instead …
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