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Multiply two 3x3 Matrices Last modified by
on
Oct 17, 2023, 12:05:16 PM
Created by
on
Sep 9, 2021, 2:20:07 PM
C = [ A 11 A 12 A 13 A 21 A 22 A 23 A 31 A 32 A 33 ] ⋅ [ B 11 B 12 B 13 B 21 B 22 B 23 B 31 B 32 B 33 ]
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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
[ c 11 c 12 c 13 c 21 c 22 c 23 c 31 c 32 c 33 ] = [ a 11 a 12 a 13 a 21 a 22 a 23 a 31 a 32 a 33 ] ⋅ [ b 11 b 12 b 13 b 21 b 22 b 23 b 31 b 32 b 33 ]
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
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