(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Use the matrix capabilities of a graphing utility to find:

[tex]f(A)=a_{0}I_{n}+a_{1}A+a_{2}A^2+\cdots+a_{n}A^n[/tex]

1.

[tex]f(x)=x^2-5x+2[/tex]

[tex]A=\left[\begin{array}{cc}2&0\\4&5\end{array}\right][/tex]

2. Relevant equations

3. The attempt at a solution

Well, I know the answer is

[tex]\left[\begin{array}{cc}-4&0\\8&2\end{array}\right][/tex]

However, I don't know how to get it.

I would think you would do A^2-5A+2 however you cant add a constant to a matrix. I'm not sure exactly what I'm supposed to do.

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# Homework Help: Matrix question

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