Matrix Multiplication (A × B)
Matrix A (one row per line)
Matrix B
Incompatible matrix dimensions. Columns of A must equal rows of B.
Matrix multiplication combines two matrices into a new matrix by computing dot products of rows and columns. Matrix multiplication is fundamental to linear algebra, computer graphics (transformations), machine learning (neural networks), and solving systems of equations.
💡
Tip: Remember: "rows of the first times columns of the second." The result has as many rows as the first matrix and as many columns as the second.
- 1Matrix A (m×n) can only multiply Matrix B (n×p) — inner dimensions must match
- 2Result is an m×p matrix
- 3Each element C[i][j] = sum of A[i][k] × B[k][j] for k = 1 to n
- 4Matrix multiplication is NOT commutative: AB ≠ BA in general
[2,3;1,4] × [1,2;3,0]=[11,4;13,2]C[0,0] = 2×1+3×3 = 11, C[0,1] = 2×2+3×0 = 4
🔒
100% مجاني
بدون تسجيل
✓
دقيق
صيغ موثقة
⚡
فوري
نتائج فورية
📱
متوافق مع الجوال
جميع الأجهزة