Algebra (Matrices and Determinants) · Class 12 Applied Mathematics · Chapter 2
🔢 Algebra (Matrices and Determinants)
CBSE Class 12 Humanities & Commerce · Applied Mathematics · Chapter 1
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📖Notes Deck
Full lecture deck with teaching paragraphs, misconception red-boxes, and glossary. Read this first.
Download PDF →📝Quick Drill
15 pattern-tagged MCQs with per-Q time budget. Drill under a 20-min timer.
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Download PDF →Top question patterns · CBSE annual / SQP aggregate
| 90% | Type / order / equality of matrices (find x, y) — State order as rows×columns · for equality set corresponding entries equal · solve the resulting tiny linear system. | 2 MARKS |
| 80% | Symmetric + skew-symmetric decomposition — Write A' · form P=(1/2)(A+A') symmetric and Q=(1/2)(A−A') skew · verify P+Q=A and diagonal of Q is zero. | 3 MARKS |
| 85% | Determinant 3×3 / minors and cofactors — Draw the sign grid first · expand along the row/column with most zeros · keep the alternating signs explicit. | 3 MARKS |
| 85% | Inverse via adjoint — Compute |A| first (stop if zero) · build cofactor matrix · transpose for adj · divide by |A| · verify A·A⁻¹ = I. | 4 MARKS |
| 95% | Solve a linear system (matrix method / Cramer) — Write AX=B · confirm |A|≠0 · X=A⁻¹B (or Cramer ratios) · substitute back into BOTH/ALL equations to verify. | 5 MARKS |
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