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Vector algebra

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Suppose two vectors are defined as follows:

a=\begin{pmatrix} 3 \cr -4 \end{pmatrix}

and

b=\begin{pmatrix}2 \cr 7 \end{pmatrix}

and then we are asked to find 3a-2b.

First, we go to to go to the module.

Next, we need to define the two vectors, so we choose for MATricies and VeCTors:

Then we press to change to the Vector screen:

The first thing we’ll do is define a by making sure the Vet A row is still highlighted and then we press :

A 2D vector has 2 rows and 1 column, so $m=2 \ and \ n=1$.

So press and to lock in the value and to enter the second row:

Then press to lock in the value. You are then taken to the next screen:

This is where we enter the content of the vector. So, press and then :

If you have made a mistake, then you can press to edit the content. If you gave the wrong dimensions, then press or .

If all is fine, then press to return to the main vector screen:

Now press down on the and do the data entry for vector

b:

Then press to get back to the vector list:

and to get back to the main screen:

We are now ready to do the actual calculation.

Start by pressing and then

followed by for MATrices/VeCTors:

Next, press twice:

At last, we get to press followed by and :

Now, we complete the expression by pressing

Then we press to get Vct and to get B:

As you would expect, press to find the answer:

Please note that the calculator uses square brackets to show vectors, but you should use curved brackets, called parentheses:

$$\begin{pmatrix} 5 \cr -26 \end{pmatrix}$$

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