It is the Relative market share and market growth rate. Relative market share is an association's or a brand's piece of the overall industry against that of its driving rival. Market focus, a related metric, measures how much a similarly modest number of firms represents an expansive extent of the market.
Market Growth rate is characterized as the ascent in deals or market estimate inside a given client base over a particular timeframe. At the point when a business investigations its market it requires deciphering its market development rate. The business development is contrasted and the market development rate.
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A vector space is a subspace of a vector space if
- is non-empty,
- for any two vectors we have , and
- for any scalar and we have .
It's easy to show the first condition is met by all the sets in parts (a-g).
(a) is a subspace of because adding any 2x2 diagonal matrices together, or multiplying one by some scalar, gives another diagonal matrix.
(b) and (c) are also subspaces for the same reasons.
(d) is not a subspace because because this set of matrices does not contain the zero matrix.
(e), however, is a subspace. Any linear combination of matrices in this set always yields a matrix with 0 in row 1, column 1 entry.
(f) is a subspace. A symmetric matrix is one of the form
Adding two symmetric matrices gives another symmetric matrix:
(g) is not a subspace. Consider the matrices
Both matrices have determinant 0, but their sum is the identity matrix with determinant 1.