Resistance of Pure Metals: A Matrix Algebra Approach

In summary, matrix algebra is a branch of mathematics that deals with the study of matrices and their operations and properties. It is important because of its wide range of applications and allows for the efficient manipulation of data and problem-solving. To solve a matrix algebra problem, one must identify the type of problem and follow the rules of matrix algebra. Resources such as textbooks, online tutorials, and tutors are available for assistance with matrix algebra.
  • #1
ckeller
10
0

Homework Statement



A range of metallic alloys are tested for electrical conductivity and give the following results for identically sized samples.

25% copper with 75% tin gave a reading of 0.0071 Ohms
65% copper with 35% cadmium gave a reading of 0.0049 Ohms
40% copper with 40% tin and 20% cadmium gave a reading of 0.0060 Ohms

Using matrix algebra, determine the resistance of an equally sized sample for each of the pure metals –

(a) Copper
(b) Tin
(c) Cadmium


Homework Equations





The Attempt at a Solution



I was hoping someone could shine some light on this!

Chris.
 
Last edited:
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  • #2
Can you write equations that describe the three measurement situations?
 

1. What is matrix algebra?

Matrix algebra is a branch of mathematics that deals with the study of matrices, which are rectangular arrays of numbers or symbols. It involves operations such as addition, subtraction, multiplication, and division of matrices, as well as other concepts such as determinants, eigenvalues, and eigenvectors.

2. Why is matrix algebra important?

Matrix algebra is important because it has a wide range of applications in various fields such as statistics, physics, engineering, and computer science. It allows us to efficiently represent and manipulate large amounts of data and solve complex problems.

3. What are the basic properties of matrices in algebra?

The basic properties of matrices include: addition and multiplication are commutative, associative, and distributive, there is a unique additive identity matrix, and the product of two square matrices of the same order is another square matrix of the same order.

4. How do I solve a matrix algebra problem?

To solve a matrix algebra problem, you need to first identify the type of problem (e.g. addition, multiplication, etc.), then perform the necessary operations according to the rules of matrix algebra. It is also important to pay attention to the order of operations and keep track of the dimensions of the matrices.

5. Are there any resources available to help with matrix algebra?

Yes, there are many resources available to help with matrix algebra, such as textbooks, online tutorials, and video lectures. You can also seek help from a math tutor or consult with a fellow student or professor for assistance.

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