Matrices

Mathematics · Chapter 3 · Unit 2: Algebra

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Your path through this chapter

1
Visual lesson Beta
1. Part 1: Order, types, transpose and symmetry19 slides
2. Part 2: Operations and invertible matrices18 slides
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Notes Beta
6 sections with key terms, formulas and exam tips.
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Flashcards Beta
30 cards for quick recall of key terms and facts.
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Practice
68 board-style questions with instant checks: Multiple choice 24, Short answer 19, Assertion and reason 6, Long answer 6.
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5
Chapter test Free
Short and long chapter tests in board pattern, with results and analysis.
- Chapter test (long) — Matrices · 40 marks · 100 min
- Chapter test (short) — Matrices · 20 marks · 50 min
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Concept, notation, order and equality; types: zero, diagonal, scalar, identity, triangular; transpose
Symmetric and skew-symmetric matrices and their properties
Addition, subtraction, scalar multiplication and multiplication of matrices; compatibility; non-commutativity; non-zero matrices with zero product
Singular and non-singular matrices; invertible matrices; proof that the inverse is unique