Understanding Re: Definition, Equations, and Solutions - Math Homework 2a

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kramer733
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Homework Statement


http://people.math.carleton.ca/~mezo/A6math1102-11.pdf
number 2a)


Homework Equations





The Attempt at a Solution



I just need help knowing what Re means. I've never seen it before and the prof didn't mention it.
 
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  • #2
"real part of", it is defined in question 2a:

where Re(a + bi) = a for a; b 2 R
 
  • #3
Thanks. But now I'm confused at the problem.I'm not sure how to confirm the real parts.
 
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  • #4
<v,w> is going to be some complex number. take its real part.

for example:

<(2+3i,4-5i),(3,1-i)> = (2+3i)(3) + (4-5i)(1+i) = 6+9i + (4-(-5) + (4 - 5)i)

= 6+9i + 9-i = 15+8i, and the real part of this is 15.
 
  • #5
Deveno said:
<v,w> is going to be some complex number. take its real part.

for example:

<(2+3i,4-5i),(3,1-i)> = (2+3i)(3) + (4-5i)(1+i) = 6+9i + (4-(-5) + (4 - 5)i)

= 6+9i + 9-i = 15+8i, and the real part of this is 15.

You can also get the real part of a complex quantity z: [tex] \mbox{Re}(z) = \frac{1}{2}(z + \bar{z}), [/tex] where [itex] \bar{z} [/itex] is the complex conjugate of z.

RGV
 

1. What is the definition of "re: definition"?

Re: definition is a term used in math to indicate that something is being redefined or clarified. It is often used when introducing a new or more specific definition for a mathematical concept.

2. What are equations in math?

Equations are mathematical statements that use symbols, such as letters and numbers, to represent relationships between quantities. They typically involve an equal sign (=) and can be solved to find the value of the unknown quantity.

3. How do I solve a math equation?

To solve a math equation, you need to isolate the variable (unknown quantity) on one side of the equal sign and perform the same operations on both sides until the variable is alone. Then, plug in the known values and solve for the variable.

4. What is the difference between an expression and an equation?

An expression is a mathematical phrase that may contain variables, numbers, and operations, but does not have an equal sign and cannot be solved. An equation, on the other hand, has an equal sign and can be solved to find the value of the unknown quantity.

5. Why is it important to understand equations and solutions in math?

Equations and solutions are fundamental concepts in math that are used to solve real-world problems and make predictions. They also help develop critical thinking and problem-solving skills, which are important in various fields, including science, engineering, and economics.

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