Matrix and determinants are actually very useful in engineering. I am going to give you a good personal example. I am a chemical engineering student, and when I took my final this past semester for my chemical processes class one of the problems had certain substances going into a reactor and came out of the reactor as different chemicals (they reacted). As part of the procedure used to determine the mass of the outcoming materials you do a mass balance (actually I did an atomic balance because atoms can not be created nor destroyed), in my mass balance I had three equations and two unknowns. At the time I was taking an engineering math course where I learned about matrices and determinants, therefore with what I learned I placed my equations as a "system of matrices" one on top of the others and reduced to "row echelon form" and was able to find all masses individual for each of the compounds. I hope this helped, and if you have any questions dont hesitate to consult with me....Chem Boy.
Matrices are a vital mathematical tool for calculating forces, vectors, tensions, masses, loads and a myriad of other factors that must be accounted for in engineering to ensure a safe and resource-efficient structure.
everywhere you deal with vectors: matricial equations are a more compact way to write scalar equations.
In the engineering field, matrices is usually applied in the magnetic fields vectors. It is also used in linear algebra which is one of the units of all the engineering courses.
One common use is in solving simultaneous linear equations.
Engineering is the application of rules of engineering to any field e-g application of rules of engineering to computer-science makes it computer-engineering similar to all fields (electrical, civil, petroleaum,software)
Teletraffic engineering is the application of traffic engineering theory to telecommunications.
electrical engineering and computer engineering
Civil engineering is the field.
Environmental Engineering
Matrices have a wider application in engineering. Many problems can be transformed in to simultaneous equation and their solution can easily be find with the help of matrices.
CALCULUS
mechanical
application of statistics in engineering field
In the field of engineering matrices,generally has various uses.specifically in the field of ELECTRONICS AND COMMUNICATION ENGINEERING it is used isolving the problems that arises in circuites.it is also used in solving probles used in making communication materials like cell phones,computers etc.., for problems regarding manupulation of mother boards in systems and other communication articles.
A prime example of matrices (plural) being used in computers if in computer graphics and rendering where matrices are used in 3D work for transformations like rotation, scaling and translations. Although I'm sure there are plenty more fields in computer science where matrices may be used.
Trigonometry has the most application in Engineering and Physics.
Engineering is the application of rules of engineering to any field e-g application of rules of engineering to computer-science makes it computer-engineering similar to all fields (electrical, civil, petroleaum,software)
When trying to deliver a complex topic to a large audience creating a power point presentation is useful. You can highlight the key topics of the application of mathematics in the engineering field using such a tool.
Matrices are a vital mathematical tool for calculating forces, vectors, tensions, masses, loads and a myriad of other factors that must be accounted for in engineering to ensure a safe and resource-efficient structure.
Unless your "everyday life" involves work in some area of engineering, you won't use matrices in your everyday life.
I suggest asking separate questions for complex numbers, and for matrices. Complex numbers are used in a variety of fields, one of them is electrical engineering. As soon as AC circuits are analyzed, it turns out that complex numbers are the natural way to do this.