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Further Maths: How do you find the inverse of a 2 x 2 matrix?

Consider the Matrix M: M= a b c d First, find the determinant. To do this, we use the formula: det(M) = ad - bc Then plug the information into the formula used to find the inverse: 1/det(m) x c -b -d a
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Economics A-Level: What is the difference between traditional economic theory and the new approach to behavioural eocnomics?

The key assumptions under traditional economic theory are that economic agents are utility-maximisers and rational in their actions. Economic agents are assumed to have compared the costs and benefits of alt...
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Answered by Shivani S. • Economics tutor
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Integrate (cosx)^3

In order to integrate (cosx)^3, there is no given rule (by-parts, 'try' method, chain rule) which we can follow. We would need to split it into (cosx)^2 and cosx. Then use the identity: (sinx)^2 + (cosx)^2 =...
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Answered by Shivani S. • Maths tutor
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Describe and explain how the reactivity of the elements changes as you go down group 1

As you go down group 1, the reactivity increases. This is because each element has only one electron in their outer shell, so need to lose this electron in order to react. As you go down group 1, the number ...
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Answered by Edward S. • Chemistry tutor
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How many solutions are there of the equation a+b+c=12, where a,b,c are non-negative integers?

We can think of any solution of this equation as a string of twelve 1's and two 0's. For example, one such solution could be a=6, b=2 and c=4. In this case we would write the solution as 11111101101111. Writ...
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Answered by Brendan M. • Maths tutor
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