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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 ad - bc, we set this equal to zero ...

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Answered by Tutor120184 D. Maths tutor
4464 Views

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 ...

AL
Answered by Andrew L. Chemistry tutor
9394 Views

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...

SH
Answered by Samuel H. Maths tutor
8593 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...

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Answered by Samuel H. Maths tutor
4176 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
1969 Views

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