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Will need a whiteboard so I can draw a matrix to fully explain.

5

dy/dx=6x+7

6x+7=0

x=-7/6

Sub back into original equation; y=98/6

Find two numbers that multiply together to equal the 3rd term and the product of the same two numbers also needs to equal the 2nd term. This is trial and error but in this case it will be,    (x - 4) (x -...

The first eigenvalue is 3, whose corresponding eigenvector is (1, 1), and the second eigenvalue is 2, whose corresponding eigenvector is (3, 4). In diagonal form, A = PDP^-1, where P = [[1, 3], [1, 4]] an...