To answer this question we need more details. We need the actual matrix and exactly what you are looking for.
The Strategic Position & ACtion Evaluation matrix or short a SPACE matrix is a strategic management tool that focuses on strategy formulation especially as related to the competitive position of an organization.The SPACE matrix can be used as a basis for other analyses, such as theSWOT analysis, BCG matrix model, industry analysis, or assessing strategic alternatives (IE matrix).What is the SPACE matrix strategic management method?To explain how the SPACE matrix works, it is best to reverse-engineer it. First, let's take a look at what the outcome of a SPACE matrix analysis can be, take a look at the picture below. The SPACE matrix is broken down to four quadrants where each quadrant suggests a different type or a nature of a strategy:AggressiveConservativeDefensiveCompetitive
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The rectangular array of elements enclosed by pair of brackets, such as [ 1 2 3 ] and subject to certain rules of operation is called matrix.
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Automated proofs are a complicated subject. If you are not an expert on the subject, all you can hope for is to write a program where you can input a sample matrix (or that randomly generates one), and verifies the proposition for this particular case. If the proposition is confirmed in several cases, this makes the proposition plausible, but is by no means a formal proof.Better try to prove it without writing any program.Note: it is not even true; it is the inverse of the matrix which gives identity when is multiplied with the original matrix.