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How do I get the eigenvalues, x, of a matrix, M, with eigenvectors, v?

To start off, let's write the equation involving these three objects: Mv = xv. Now, looking at the first form of the equation, we don't want any eigenvector to have all its entries be zero, or else the ei...

Answered by Matthew M. • Maths tutor

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Solve these simultaneous equations.....3a+2b = 17 and 8a-2b= 60

3a+2b = 178a-2b = 60We are going to solve this using the elimination method. This means that we are going to eliminate the variable (or letter) that has the same value in each equation. In this case it is...

Answered by Joel O. • Maths tutor

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Solve the equation x^2 + 10x + 24 = 0

x² + 10x + 24 = 0
First we must factorise the equation, which means put it into brackets. To do this we must find two numbers which multiply to equal 24 and add together to make 10. The on...

Answered by Archie A. • Maths tutor

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Sophie had 3 piles of coins, A, B and C. Altogether there was £72. Pile B had twice as much as pile A. Pile C had three times as much as pile B. How much money was in Pile C?

A + B + C = £722A = B3B = C0.5 B + B + 3B = £724.5 B = £72B = £16C = £48

Answered by Saleema R. • Maths tutor

2671 Views

Find all the stationary points of the curve: y = (2/3)x^3 – (1/2)x^2 – 3x + 7/6 and determine their classifications.

The first thing to do is write down y’ and y’’ neatly since these are the main two equations we will be working with… y’ = 2x² – x – 3 & y’’ = 4x – 1… To find the stationary point we must f...

Answered by Henry T. • Maths tutor

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