What is the modulus of 3+4i?

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Sketch the curve y= ((3x+2)(x-3))/((x-2)(x+1)) and find values of y for which y>=3


Prove by induction that, for all integers n >=1 , ∑(from r=1 to n) r(2r−1)(3r−1)=(n/6)(n+1)(9n^2 -n−2). Assume that 9(k+1)^2 -(k+1)-2=9k^2 +17k+6


Find the eigenvalues and eigenvectors of the matrix M , where M{2,2} = (1/2 2/3 ; 1/2 1/3) Hence express M in the form PDP^-1 where D is a diagonal matrix.


How do you invert a 2x2 matrix?


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