# User:Mjmohio

## What I am doing

I am mainly working on Topic:Numerical analysis.

I started /College Algebra (Ohio TAGS), but am not working on it at the moment.

## Formatting Hints

### Exercise/Example Template

For an exercise (and perhaps example) you want the reader to have access to the solution, but to not see it immediately. This template allows you to hide the solution.

You can use

What is 1+1?
Solution:
</div><div class="NavContent" style="text-align:left">
2
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to make:

What is 1+1?

### Naming Equations and Referring to Them

You can name (or number) and refer to equations using

Thus we have
{{NumBlk|:|$y_{n+1}=y_n+h(a_1k_1+a_2k_2) \,.$|{{EquationRef|method}}}}
From ({{EquationNote|method}}), we see ...


to make:

Thus we haveString Module Error: function rep expects a number as second parameter, received "

"
${\displaystyle y_{n+1}=y_{n}+h(a_{1}k_{1}+a_{2}k_{2})\,.}$

(method)

String Module Error: function rep expects a number as second parameter, received "

"

From (method ), we see ...

## Quiz template

For instructions on writing quizzes, see Help:Quiz or Help:Quiz-Simple.

1

LU decomposition is

 A name of the algorithm to solve any linear systems a matrix decomposition which writes a matrix as the product of a lower triangular matrix and an upper triangular matrix A the program to solve any linear systems None of those

2

 The determinant of ${\displaystyle \left[{\begin{array}{c c}3&4\\2&1\end{array}}\right]}$ is .

3

 ${\displaystyle \displaystyle \ y_{1}=}$ ${\displaystyle \displaystyle \ y_{2}=}$ ${\displaystyle \displaystyle \ y_{3}=}$ Next, we have Ux = y ${\displaystyle {\begin{bmatrix}2&-1&3\\0&4&-5\\0&0&6\end{bmatrix}}}$ X ${\displaystyle {\begin{bmatrix}x_{1}\\x_{2}\\x_{3}\end{bmatrix}}}$ = ${\displaystyle {\begin{bmatrix}y_{1}\\y_{2}\\y_{3}\end{bmatrix}}}$ Use backward substitution we have: ${\displaystyle \displaystyle \ x_{1}=}$ ${\displaystyle \displaystyle \ x_{2}=}$ ${\displaystyle \displaystyle \ x_{3}=}$