Diagonalize the matrix A, if possible. That is, find an invertible matrix P and a diagonal matrix D such that   A = 

A.
P = , D = 
B. Not diagonalizable
C.
P = , D = 
D.
P = , D = 


Answer: A

Mathematics

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Give a verbal description of the subset of real numbers represented by the following inequality and sketch the subset on the real number line. ? x ? 3 ?

A. x ? 3 denotes the set of all real numbers less than or equal to 3.


B. x ? 3 denotes the set of all real numbers greater than or equal to 3.


C. x ? 3 denotes the set of all real numbers less than or equal to 3.


D. x > 3 denotes the set of all real numbers greater than 3.


E. x ? 3 denotes the set of all real numbers less than or equal to 3.


Mathematics

Solve the problem.A bike road race starts at an elevation of 830 feet and passes through 5 stages where the elevation changes by 185 feet, -270 feet, 584 feet, -134 feet, and 568 feet. At what elevation does the race end?

A. 1349 feet B. 1763 feet C. -2571 feet D. 2571 feet

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Provide an appropriate response.True or False? If x > 9 then 3x > 27.

A. True B. False

Mathematics

Two sides of a right triangle ABC (C is the right angle) are given. Find the indicated trigonometric function of the given angle. Give exact answers with rational denominators.Find cos A when a = 3 and b = 7.

A.
B.
C.
D.

Mathematics