Determinant | Class 12th CBSE Examination 2025 | Bihar Board | @MathsVedika ​

Описание: In this video, we explain Determinants as per the Class 12 NCERT syllabus — perfect for your SENT-UP Examination 2025 preparation.
Ideal for CBSE & Bihar Board exams, this lesson helps you master definitions, properties, operations, determinants, inverse matrices, rank, and methods to solve systems of linear equations (including Cramer’s rule and matrix inversion).
Class 12 Maths – Matrices & Determinants explained with complete clarity!

Based on NCERT and useful for CBSE, Bihar Board & competitive exams, this video includes:
• Introduction to matrices — types (row, column, square, diagonal, scalar, identity, zero) and notation
• Matrix operations — addition, scalar multiplication, and product of matrices (with examples)
• Transpose, symmetric and skew-symmetric matrices
• Determinant — definition, properties, and evaluation techniques (expansion by minors/cofactors)
• Minors, cofactors, and the adjoint (adjugate) of a matrix
• Inverse of a matrix using adjoint and determinant (matrix 𝐴−1=1∣𝐴∣adj 𝐴)
• Rank of a matrix — full rank, row/column rank, and methods to find rank (row reduction)
• Consistency of linear systems — unique solution, no solution, infinitely many solutions
• Solving linear equations using:
– Matrix inversion method
– Cramer’s rule (with step-by-step examples)
• Applications and NCERT examples — solved fully and explained logically
• Exam-oriented tips, shortcuts and important questions for SENT-UP & board exams

A must-watch for all Class 12 students.
Welcome back students!
Today we break down one of the most practical and scoring Class 12 Maths chapters — Matrices & Determinants.
This NCERT-based explanation is specially designed for CBSE & Bihar Board students to build procedural clarity and confidence to solve exam problems quickly.

Learn Matrices & Determinants from Class 12 NCERT in the simplest way.
Useful for CBSE & Bihar Board students preparing for SENT-UP, prelims, and board exams.
Master determinant properties, inverse matrices, rank methods and solution techniques — all explained with clear worked examples and exam hacks!

Why watch this video?
• Clear theory + many worked examples = strong problem solving skills.
• Step-by-step methods for inverse matrices and Cramer’s rule you must remember.
• Typical exam problems solved exactly in the SENT-UP/board style.
• Quick revision checklist and last-minute tips at the end.

Chapters covered:
Introduction • Matrix operations • Transpose & symmetry • Determinants & properties • Minors, cofactors & adjoint • Inverse of a matrix • Rank & consistency • Solving linear systems (Cramer’s rule & matrix inversion) • NCERT problems • Exam tips & practice questions

Study with confidence — score higher in SENT-UP Examination 2025!

Tags / Keywords
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Matrix multiplication examples
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