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Determinants and Systems of Linear Equations
Mathematics · Chapter 4 · Unit 2: Algebra
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Your path through this chapter
Visual lesson Beta
- Part 1: Determinants, properties and area18 slides
- Part 2: Adjoint, inverse and linear systems17 slides
Flashcards Beta
30 cards for quick recall of key terms and facts.
Review the cards Step 3: Not startedPractice
68 board-style questions with instant checks: Multiple choice 26, Short answer 21, Long answer 6, Assertion and reason 5.
Practise Step 4: Not startedChapter test Free
Short and long chapter tests in board pattern, with results and analysis.
Step 5: Not started- Chapter test (long) — Determinants and Systems of Linear Equations · 40 marks · 100 min
- Chapter test (short) — Determinants and Systems of Linear Equations · 20 marks · 50 min
Topics 5
- Determinant of a square matrix up to order 3; minors, cofactors and expansion
- Properties of determinants and problems based on them
- Area of a triangle and collinearity of three points using determinants
- Adjoint of a matrix and its properties; inverse A^-1 = (adj A)/|A| for 2 x 2 and 3 x 3 matrices; properties of inverse
- Systems of linear equations: consistency, inconsistency and number of solutions; solving AX = B by X = A^-1 B in two or three variables