Rachelle is writing a program that needs to calculate the cube root of a number. She is not sure how to write the code for that
2 answers:
The cube root is a number multiplied by itself three times to get another number
The code to use is y = x**(1/3)
<h3>How to determine the code to use</h3>Assume the variable is x, and the cube root of x is y.
So, we have the following equation
In Python, the code to use is y = x**(1/3)
Hence, the code that Rachelle can use in her calculation is x**(1/3)
Read more about cube roots at:
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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.
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.
Then the system is consistent and has a unique solution.
<em>E.g.</em>
2) Writing it as Linear system
3) The Rank (A) is 3 found through Gauss elimination
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.