What you will learn In Matrix Algebra for Engineers Course
Matrix operations: multiplication, transpose, inverse, orthogonal matrices.
Solving systems of linear equations using Gaussian elimination and LU decomposition.
Understanding vector spaces, linear independence, and the Gram-Schmidt process.
Exploring determinants, eigenvalues, and matrix diagonalization.
Applying matrix algebra to solve engineering problems.
Program Overview
Matrices
⏳ 5 hours
- Introduction to matrices, matrix operations, and special matrices.
- Understanding matrix transpose, inverse, and orthogonality.
Systems of Linear Equations
⏳ 5 hours
- Solving linear systems using Gaussian elimination and LU decomposition.
- Understanding reduced row echelon form and matrix inverses.
Vector Spaces
⏳ 5 hours
- Exploring vector spaces, linear independence, and span.
- Applying the Gram-Schmidt process and understanding null and column spaces.
Eigenvalues and Eigenvectors
⏳ 4 hours
- Calculating determinants and solving the eigenvalue problem.
- Understanding matrix diagonalization and powers of a matrix.
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Job Outlook
Enhances mathematical proficiency for careers in engineering, data science, and computational modeling.
Provides a solid foundation for advanced studies in engineering mathematics and simulation.
Completing this course can bolster qualifications for roles requiring strong analytical and problem-solving skills.
Specification: Matrix Algebra for Engineers
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