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The transform in the original basis is found to be the product of three easy-to-derive matrices. In effect, the similarity transform operates in three steps: change to a new basis (P), perform the simple transformation (S), and change back to the old basis (P −1).
For a change of basis, the formula of the preceding section applies, with the same change-of-basis matrix on both sides of the formula. That is, if M is the square matrix of an endomorphism of V over an "old" basis, and P is a change-of-basis matrix, then the matrix of the endomorphism on the "new" basis is .
A more colloquial phrase that means the same thing as similarity invariance is "basis independence", since a matrix can be regarded as a linear operator, written in a certain basis, and the same operator in a new basis is related to one in the old basis by the conjugation , where is the transformation matrix to the new basis.
Buy low and sell high is one of the most fundamental rules of stock investing. Knowing the cost basis of the stocks you purchase can help you estimate your potential profit should you decide to ...
Replacement cost coverage is designed so the policy holder will not have to spend more money to get a similar new item and that the insurance company does not pay for intangibles. [4] For example: when a television is covered by a replacement cost value policy, the cost of a similar television which can be purchased today determines the ...
A secretary bought three shares of her company's stock for $60 each in 1935. Grace Groner reinvested her dividends for 75 years, and her stake ballooned to $7.2 million.
Also if used and built correctly the cash value can be taken out of the policy on a tax-free basis. When discontinuing a policy, according to Standard Non-forfeiture Law, a policyholder is entitled to receive his share of the reserves, or cash values, in one of three ways (1) cash, (2) reduced paid-up insurance, or (3) extended term insurance.
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