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m_a_m_a [10]
3 years ago
12

A common and extremely useful feature of most online dictionaries is

Computers and Technology
1 answer:
choli [55]3 years ago
4 0
A common and extremely useful feature of most online dictionaries is <em />interoperable browser.
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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.

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2 years ago
A business has recently deployed laptops to all sales employees. The laptops will be used primarily from home offices and while
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C. OS hardening.

Making an operating system more secure. It often requires numerous actions such as configuring system and network components properly, deleting unused files and applying the latest patches.

The purpose of system hardening is to eliminate as many security risks as possible. This is typically done by removing all non-essential software programs and utilities from the computer.

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One of the greatest benefits of dual enrollment courses is that students can receive:
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450Mbps on the 2.4GHz band and 1300Mbps on the 5GHz band
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how does the accenture mynav green cloud advisor integrate sustainability when transitioning client data centers to the cloud?
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The accenture mynav green cloud advisor integrates sustainability when transitioning client data centers to the cloud by estimating carbon emissions reduction and sustainability index improvement.

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