Explain why it is important to be able to perform matrix operations by hand when a calculator can
do them for you.

The answer is explained below

Step-by-step explanation:

I am going to list a series of points where it is important to learn how to perform matrix operations.

1. The first and most important is that calculators may not always be available, and even if you do have them there will be cases where they won't let you use them.

2. By performing the operation by hand it will allow you to understand the process in a better way, such as finding an inverse, if you do this with a calculator you will most likely not know what was done.

3. Although it seems basic, some calculators cannot display the elements of a matrix as fractions, which is important to understand the process.

4. There are special cases such as when an array could contain a variable and the calculator could not be used in this case.

5. Although in most cases the calculator can help us get out of the operation quickly, sometimes it is faster at hand and, most importantly, when performing the step by step, you understand the entire operation better.

INCLUDE:

Calculators may not always be available.

Finding an inverse by hand allows me to understand the process.

Calculators may not show the elements of a matrix as fractions.

Sometimes it is faster by hand.

A matrix could contain a variable.

see attached

step-by-step explanation:

given the function as;

write the equation replacing f(x) with y

form   and fill a table containing values of y with corresponding values of x

you can take a range for   values of x as -3≤x≤3

solving for x=-3

for x=-2

repeat the same procedure to get the values of y for the remaining ,x=-1 to x=3

plot the values of y against values   of x and obtain the following graph