MAT004 · Matrices & determinants · Classes 11–12
Matrix subtraction
Matrices of the same order are subtracted element by element.
A − BMatrix subtraction
📐 Formula
(A − B)ᵢⱼ = aᵢⱼ − bᵢⱼ
✏️ Worked example
[5 3; 4 5] − [1 2; 3 4] = [4 1; 1 1].
🌍 Where it is used
Changes between two data tables (this month − last month).
❓ Quick check
[5 5] − [2 3] = ?
🏋️ Practice
Easy[4 1; 0 2] − [1 1; 0 2]?
Answer: [3 0; 0 0]
MediumIs A − B = B − A?
Answer: No (they are negatives)
ChallengeA − A = ?
Answer: The zero matrix