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Suppose that the characteristic polynomial of some matrix A is found to be
p(λ) = (λ − 1)(λ − 3)^2 (λ − 4)^3 . What is the size of A?
A manufacturer of sports equipment has developed a new synthetic fishing line that
the company claims has a mean breaking strength of 8 kilograms with a standard
deviation of 0.5 kilogram. Test the hypothesis that μ = 8 kilograms against the
alternative that μ is not equal to 8 kilograms if a random sample of 50 lines is tested and found
to have a mean breaking strength of 7.8 kilograms. Use a 0.01 level of significance. What is critical region
Consider product of three matrices M1,
M2 and
M3 having w rows and x columns, x rows and y columns, and y rows and z columns. Under what condition will it take less time to compute the product as
(M1M2)M3 than to compute
M1(M2M3) ?