Exercise 3B mein tum mainly yeh topics padhte ho:
1. Matrix Addition & Subtraction
Same order (size) ki matrices ko add/subtract kaise karte hain
Element-wise operation hota hai (har element ko individually add/subtract)
2. Scalar Multiplication
Kisi matrix ko ek number (scalar) se multiply karna
Har element us number se multiply hota hai
3. Matrix Multiplication
Yeh thoda important aur tricky part hota hai
Rule:
Columns of first matrix = Rows of second matrix
Row × Column method use hota hai
4. Properties of Matrix Multiplication
Generally commutative nahi hota (A × B ≠ B × A)
Associative hota hai:
(A × B) × C = A × (B × C)
Distributive property bhi hoti hai
5. Zero Matrix & Identity Matrix
Zero matrix: sab elements 0
Identity matrix:
diagonal par 1, baaki sab 0
Identity matrix multiplication mein 1 jaisa behave karta hai
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CLASS 12TH MATH CHAPTER 3 MATRIX (LECTURE 3) | NatokHD