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The Ansoff matrix is a strategic planning tool that provides a framework to help executives, senior managers, and marketers devise strategies for future business growth. [1] It is named after Russian American Igor Ansoff , an applied mathematician and business manager, who created the concept.
Market penetration is the key for a business growth strategy stemming from the Ansoff Matrix (Richardson, M., & Evans, C. (2007). H. Igor Ansoff first devised and published the Ansoff Matrix in the Harvard Business Review in 1957, within an article titled "Strategies for Diversification". The grid/matrix is utilized across businesses to help ...
The growth–share matrix [2] (also known as the product portfolio matrix, [3] Boston Box, BCG-matrix, Boston matrix, Boston Consulting Group portfolio analysis and portfolio diagram) is a matrix used to help corporations to analyze their business units, that is, their product lines. The matrix was initially created in a collaborative effort by ...
Ansoff pointed out that a diversification strategy stands apart from the other three strategies. Whereas, the first three strategies are usually pursued with the same technical, financial, and merchandising resources used for the original product line, the diversification usually requires a company to acquire new skills and knowledge in product development as well as new insights into market ...
Thus every shear matrix has an inverse, and the inverse is simply a shear matrix with the shear element negated, representing a shear transformation in the opposite direction. In fact, this is part of an easily derived more general result: if S is a shear matrix with shear element λ, then S n is a shear matrix whose shear element is simply nλ.
Noting that any identity matrix is a rotation matrix, and that matrix multiplication is associative, we may summarize all these properties by saying that the n × n rotation matrices form a group, which for n > 2 is non-abelian, called a special orthogonal group, and denoted by SO(n), SO(n,R), SO n, or SO n (R), the group of n × n rotation ...
A reflection about a line or plane that does not go through the origin is not a linear transformation — it is an affine transformation — as a 4×4 affine transformation matrix, it can be expressed as follows (assuming the normal is a unit vector): [′ ′ ′] = [] [] where = for some point on the plane, or equivalently, + + + =.
When compared to the BCG matrix consisting of four cells, the GE matrix is more complex with its nine cells. [12] This means it not only takes longer to construct, but also to implement. The BCG matrix is much simpler and the factors needed to construct it are accessed more easily and quickly.