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How do I calculate the eigenvalues and eigenvectors of a 2x2 matrix, and what is the point of doing this calculation?

We find the eigenvalues (here called "k") by solving the characteristic equation det(M - kI) = 0. For a 2x2 matrix ((a, b), (c,d)) the determinant is a d - b c, we set this equal to zero and solve ...
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Answered by Tutor120184 D. • Maths tutor
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The intermolecular interactions between halogen molecules are Van der Waals' forces. Explain how these Van der Waal's forces arise between halogen molecules.

Electrons are mobile or move in halogen molecules. Therefore, there can be an uneven distribution of electrons or electron density in halogen molecules (1 mark). This creates a temporary or instantaneous dip...
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Answered by Andrew L. • Chemistry tutor
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Find the derivative of y=e^(2x)*(x^2-4x-2).

Notice that y can be expressed as y=f(x)g(x), in which f(x)=e^(2x) and g(x)=x^2-4x-2.Through the product rule, we know that dy/dx=f'(x)g(x)+f(x)g'(x).Through the chain rule, we can solve f(x) by rewriting in...
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Answered by Samuel H. • Maths tutor
9333 Views

Solve x^2+4x-5=0

Two approaches.1.Note that the equation is a quadratic equation, and can thus be solved per the quadratic formula, in which the solutions are given to be (-b+-sqrt(b^2-4ac))/2a.Plugging in the values from th...
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Answered by Samuel H. • Maths tutor
4887 Views

Discuss the differences between operating systems designed for desktop computers and embedded systems.

Desktop:Supports a wide range of peripheralsRun a wide range of softwareManage securityNetworking protocols(etc)Embedded:Low hardware requirementsManage power consumptionNo/minimal UII/O(etc)
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Answered by Samuel H. • Computing tutor
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