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Multiply two 3x3 Matrices

C=[A11A12A13A21A22A23A31A32A33][B11B12B13B21B22B23B31B32B33]
(A) 3x3 Matrix
(B) 3x3 Matrix
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The Multiplication of two 3x3 Matrices calculator computes the resulting 3x3 matrix (C) produced by matrix multiplication of 3x3 matrix A times matrix B.

INSTRUCTIONS:  

  • (A) 3x3 Matrix
  • (B) 3x3 Matrix

Matrix (C): The calculator returns the resultant 3x3 matrix.

The Math / Science

[c11c12c13c21c22c23c31c32c33]= [a11a12a13a21a22a23a31a32a33] [b11b12b13b21b22b23b31b32b33]

where:

  • c11 = a11*b11+a12*b21+a13*b31
  • c12 = a11*b12+a12*b22+a13*b32
  • c13 = a11*b13+a12*b23+a13*b33
  • c21 = a21*b11+a22*b21+a23*b31
  • c22 = a21*b12+a22*b22+a23*b32
  • c23 = a21*b13+a22*b23+a23*b33
  • c31 = a31*b11+a32*b21+a33*b31
  • c32 = a31*b12+a32*b22+a33*b32
  • c33 = a31*b13+a32*b23+a33*b33


Matrix Calculators