3 years ago

When graphing a complex number, which axis represents the imaginary part of the number? Is it the vertical or the horizon axis?

Mathematics

1 answer:

Firdavs [7]3 years ago

3 0

Horizon Axis. Horizon represents the imaginary part of the number.

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Find the reduced echelon form of [1, 2, 4; 0, 3, 6; 0, 2, 4]

taurus [48]

Answer:

$\begin{pmatrix}1&0&0\\0&3&6\\0&0&0 \end{pmatrix}$

Step-by-step explanation:

Given:

$\begin{pmatrix}1&2&4\\0&3&6\\0&2&4 \end{pmatrix}$

We need to reduce the given matrix to reduced echelon form.

Solution:

Make zeroes in column 1 except the entry at row 1, column 1. As we can see all elements in column are already zero. Make zeroes in column 2 except the entry at row 2, column 2.

$\begin{pmatrix}1&2&4\\0&3&6\\0&2&4 \end{pmatrix}\\R_3\rightarrow R_3-\frac{2}{3}R_2\\\begin{pmatrix}1&2&4\\0&3&6\\0&0&0 \end{pmatrix}\\R_2\rightarrow \frac{R_2}{3}\\\begin{pmatrix}1&2&4\\0&1&2\\0&0&0 \end{pmatrix}\\R_1\rightarrow R_1-2R_2\\\begin{pmatrix}1&0&0\\0&3&6\\0&0&0 \end{pmatrix}\\$

So, $\begin{pmatrix}1&2&4\\0&3&6\\0&2&4 \end{pmatrix}$ in reduce echelon form is $\begin{pmatrix}1&0&0\\0&3&6\\0&0&0 \end{pmatrix}$

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Step-by-step explanation:

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