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lilavasa [31]
3 years ago
5

Can someone help me with this lab assignment? I really do not know what should I do?

Computers and Technology
1 answer:
blondinia [14]3 years ago
4 0

Answer:

your question is too long to read

Explanation:

try explaining it in fewer words

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What would you have to know about the pivot columns in an augmented matrix in order to know that the linear system is consistent
Scrat [10]

Answer:

The Rouché-Capelli Theorem. This theorem establishes a connection between how a linear system behaves and the ranks of its coefficient matrix (A) and its counterpart the augmented matrix.

rank(A)=rank\left ( \left [ A|B \right ] \right )\:and\:n=rank(A)

Then satisfying this theorem the system is consistent and has one single solution.

Explanation:

1) To answer that, you should have to know The Rouché-Capelli Theorem. This theorem establishes a connection between how a linear system behaves and the ranks of its coefficient matrix (A) and its counterpart the augmented matrix.

rank(A)=rank\left ( \left [ A|B \right ] \right )\:and\:n=rank(A)

rank(A)

Then the system is consistent and has a unique solution.

<em>E.g.</em>

\left\{\begin{matrix}x-3y-2z=6 \\ 2x-4y-3z=8 \\ -3x+6y+8z=-5  \end{matrix}\right.

2) Writing it as Linear system

A=\begin{pmatrix}1 & -3 &-2 \\  2& -4 &-3 \\ -3 &6  &8 \end{pmatrix} B=\begin{pmatrix}6\\ 8\\ 5\end{pmatrix}

rank(A) =\left(\begin{matrix}7 & 0 & 0 \\0 & 7 & 0 \\0 & 0 & 7\end{matrix}\right)=3

3) The Rank (A) is 3 found through Gauss elimination

(A|B)=\begin{pmatrix}1 & -3 &-2  &6 \\  2& -4 &-3  &8 \\  -3&6  &8  &-5 \end{pmatrix}

rank(A|B)=\left(\begin{matrix}1 & -3 & -2 \\0 & 2 & 1 \\0 & 0 & \frac{7}{2}\end{matrix}\right)=3

4) The rank of (A|B) is also equal to 3, found through Gauss elimination:

So this linear system is consistent and has a unique solution.

8 0
3 years ago
How do you add a simple header that will appear in a single column on the left of a document
malfutka [58]

When adding a header, you need to double tap the top of the document.

4 0
3 years ago
Read 2 more answers
(15 POINTS + BRAINLIEST) My friend is trying to make an account on brainly, but she can't sign in. All it just says is, “We cann
julia-pushkina [17]
Try a different email and see if that works :)
5 0
3 years ago
Read 2 more answers
You can us the (BLANK) symbol when you want to automatically add a set of numbers together in a spreadsheet
sleet_krkn [62]

Answer:

Σ

Explanation:

What symbol can you use when you want to automatically add a set of numbers together on excel?

✓ Σ This is the Greek letter Sigma. It is used to start the Autosum facility.

5 0
2 years ago
Given the class 'ReadOnly' with the following behavior: A (protected) integer instance variable named 'val'. A constructor that
Dafna1 [17]

Answer:

I believe you want a subclass so here it is!

public class ReadWrite extends ReadOnly {

public ReadWrite(int initialValue){

super(initialValue);

}

private boolean modified = false;

public void setVal(int x) {

val = x;

modified = true;

}

public boolean isDirty() {

return modified;

}

}

Explanation:

I might be wrong, just check through it in case

Hope this helped

:)

7 0
3 years ago
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