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Maths Puzzle
Numerical Ability
thirty-two more than a number is 75
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A Regualr polygon of n sides inscribed in a circle of radius r has 3r squared. What is the value of n?
For the following linear operator T on the vector space V, test T for diagonalizability, and if T is diagonalizable, find a basis B for V such that [T]B is a diagonal matrix.
V= M(2x2)(R) and T is defined by T(A) = A^t.