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JulsSmile [24]
3 years ago
13

True or False

Computers and Technology
1 answer:
OverLord2011 [107]3 years ago
7 0

Answer:False

Explanation:

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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
The the concept of plug-and-play is demonstrated by which of the following scenarios
Vitek1552 [10]

Answer:

What are the Scenarios

I will update this when you give us them

Explanation:

5 0
3 years ago
Read 2 more answers
How to get points on Brainly?<br> List at least two ways if you can.
GarryVolchara [31]

Answer:

1. Answering questions

2. Logging in everyday

Explanation:

By answering questions, you will earn points. By logging in everyday, I think they give you points as well. Good luck, and hope this helped! :-)

6 0
3 years ago
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A threat actor has successfully breached the network firewall without being detected by the IDS system. What condition describes
Mamont248 [21]

Answer:

false negative

Explanation:

A false negative is a dangerous state in which the IDS (Intrusion Detection System) assumes the activity as acceptable in which the activity is actually an attack occurred on the system.

That means, the Intrusion Detection System has failed to catch the attack. This is the most dangerous state, as the systems were compromised and the network or cyber security people were unable to find the attack.

More generally, there are two types of Intrusion Detection Systems ( IDS ). Network based IDSs ( NIDS ) and Host based IDSs ( HIDS ).

5 0
4 years ago
Plz answer it’s timed
MAVERICK [17]

Answer: the third one

Explanation:

just trust me, the other ones dont mke sense to what I know about the subject, which is a lot

7 0
3 years ago
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