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linear algebra help

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Matrices question

linear algebra help

Let
A =

2, 1
3, -1

Show that A^2 = A + 5I and hence and A^6 as a linear combination of A and I. (I is a identity matrix of 2x2)

solution is 96A + 205I. How?

Reply 1

Fermat

abdooooo!!!

Let
A =

2, 1
3, -1

Show that A^2 = A + 5I and hence and A^6 as a linear combination of A and I. (I is a identity matrix of 2x2)

solution is 96A + 205I. How?

Solution here.

Matrices.gif9.3KB

Reply 2

abdooooo!!!

thank you heaps. :smile:

how do you type the solution like that? what program do you use?

Reply 3

Fermat

abdooooo!!!

thank you heaps. :smile:

how do you type the solution like that? what program do you use?

It's called MathType. It's especially for typeing maths symbols and equations. It's got templates for Algebra, Derivatives, Stats, Matrices, Sets, Trig and Geometry.
You can save your work as GIF files, and import them into Word.
It's pretty handy :smile: