For the matrix $A=$

Use matlab's lu function to complete L U factorization.

What happens when you multiply L$*$U$?$

What is the Frobenius norm of the following matrix? Use the matlab built in function.

$A=,$

$,$

$0\mathrm{.}0975,0\mathrm{.}9575,0\mathrm{.}9706$

$0\mathrm{.}2785,0\mathrm{.}9649,0\mathrm{.}9572$

$0\mathrm{.}5469,0\mathrm{.}1576,0\mathrm{.}4854$

Use the built in condition number algorithm to determine the condition number of A and $A^{-1}.$ How many

digits can you trust?

Build a program in matlab that takes in a $3x3$ matrix and returns the invers matrix. You can use

the built in lu function but not the invers matlab functions.

function $Al=asurit{e}_{h}w10(A)$

Hint, you will need to use $L$ and $U$ to calculate the $\{x1\},\{x2\}$ and $\{x3\},$ then concatenate the result into

the invers matrix.