Multivariate and high-dimensional data, are they the same?

I read about the multivariate and high-dimensional data set. I found that the multivariate data is the data with more than 3 variables. In addition, the high-dimensional data is the data with a large number of variables. So, for me, the multivariate and high-dimensional data set are the same, is that correct? I think, do not know if it is correct or not, the multivariate data is a data with more than 3 variables but the number of observation is quite small (300 to 500 observations). However, high-dimensional data is the data with a large number of variables (10 to 100 or even larger) and a large number of observations (1000 observations). Is that correct?

• multivariate data is the data with more than 3 variables No. Please read the tag [multivariate-analysis] info. As well as [high-dimensional] tag. Jul 1 '19 at 9:18
• @ttnphns thank you for your comment and I am really sorry if I use a wrong tag. I actually have to work with multivariate and high-dimensional analysis.
– Mary
Jul 1 '19 at 10:08

• Inability to perform matrix inversion and most forms of decomposition when $$n < p$$;