MTH706 Advanced Linear Algebra Notes, MCQs & Assignments | Query Point Official

MTH706 ||| Advanced Linear Algebra

MTH706 – Advanced Linear Algebra focuses on vector spaces, matrices, linear transformations, eigenvalues, and eigenvectors with applications in mathematics, physics, and engineering.

Course Introduction

This course explores advanced topics in linear algebra including canonical forms, inner product spaces, spectral theory, and applications to computational problems.

Course Learning Objectives

• Understand vector spaces and subspaces
• Analyze linear transformations and matrices
• Compute eigenvalues and eigenvectors
• Study diagonalization and canonical forms
• Apply linear algebra to real-world mathematical problems

Major Topics / Syllabus

• Vector Spaces and Subspaces
• Linear Transformations and Matrices
• Determinants and Rank
• Eigenvalues, Eigenvectors, and Diagonalization
• Inner Product Spaces and Orthogonality
• Canonical Forms: Jordan and Rational Forms
• Applications in Computational Mathematics

Practice Areas

• MCQs on vector spaces and matrices
• Short exercises on eigenvalues and transformations
• Long derivations on canonical forms
• Application-based problems in linear algebra

Exam Preparation Tips

• Memorize properties of vector spaces and transformations
• Practice eigenvalue and diagonalization problems
• Solve past exam questions
• Understand applications in engineering and computation

MTH706 Advanced Linear Algebra MCQs

MTH706 MCQs (click here)

MTH706 Advanced Linear Algebra Questions

MTH706 Short & Long Questions (click here)

Assignment Questions

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