using Cayley - hamilton theorem [1 2 3 Let A = 1 2 Find A5. 0 1 2

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A rectangle is inscribed in a triangle as shown. Let x denote the base of the rectangle and let y denote the height of the rectangle. Express the area A of the rectangle in terms of x and y. A = Express the area A of the rectangle in terms of x. A = (0,6) (x,y) (0,0) (6,0) Find the dimensions x and y of the inscribed rectangle with the largest area. X = y =