MAT009 · Matrices & determinants · Classes 11–12
Zero matrix
The zero matrix O has every element 0. Adding it changes nothing, and A − A = O.
OZero matrix
📐 Formula
A + O = A; A − A = O; AO = O
✏️ Worked example
[3 −2; 1 5] − [3 −2; 1 5] = [0 0; 0 0].
🌍 Where it is used
The 'additive identity' in matrix algebra.
❓ Quick check
A + O = ?
🏋️ Practice
EasyO × A = ?
Answer: O
MediumIs the zero matrix the same as I?
Answer: No
Challengedet(O) for 2 × 2?
Answer: 0