Then, the exercise is: Prove the metric matrix of V in respect to the basis B is $$\pmatrix{8 &0 &2\\0 &4& 1\\ 2& 1 &1}$$ It would be of great help if someone could tell me where to find more info on this.

2023年4月20日 · Synonym for matrix A matrix is a type of notation in maths, or a type of array, like in 矩阵, whereas metric is an adjective to describe something as using the metric system of measurements (metres, centimetres, litres) and "metrics" is a …

2013年6月5日 · There's also the type (2,0) which also corresponds to a matrix, but which maps two covectors to a number, and which again transforms differently. The bottom line of this is: The components of a rank-2 tensor can be written in a matrix. The tensor is not that matrix, because different types of tensors can correspond to the same matrix.

But you can also use the Jacobian matrix to do the coordinate transformation. So based on that I am wondering whether there is a relation between the Jacobian matrix and the metric tensor? e.g. Jacobian matrix is used when we transform in the coordinate system with the locally perpendicular axis, but the metrix tensor is used more generally?

matrixA matrix is a type of notation in maths, or a type of array, like in 矩阵, whereas metric is an adjective to describe something as using the metric system of measurements (metres, centimetres, litres) and "metrics" is a colloquial term for readings or measurements.的同义词

2018年5月2日 · What is the relation between a positive semidefinite matrix (a symmetric matrix whose eigenvalues are nonnegative) and a metric matrix (a matrix with triangle inequality, symmetry, and zero on the ...

【ネイティブ回答】「matrix」と「metric(s)」はどう違うの？質問に3件の回答が集まっています！Hinativeでは"英語（イギリス）"や外国語の勉強で気になったことを、ネイティブスピーカーに簡単に質問できます。

2014年12月18日 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.

2015年1月26日 · This matrix is defined by $$ g_{ij}|_p = g_p(e_i,e_j) \qquad g_{ij} = g(e_i,e_j) $$ (most of the time one ...

Looking at max and min deviation of one matrix from the other. But again, what's a good threshold? I thought that to say one matrix varies significantly from the other, I would need to quantify the variance of those terms and compare how the deviation compares to the variance (or SD) but sadly, I don't have data for that and neither can I ...