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Home > Matrix & Vector calculators > Multiplication of two matrix example
2. Matrix Multiplication example ( Enter your problem )
( Enter your problem )
  1. Definition and Examples
  2. Example-2
 		Other related methods
  1. Addition of two matrix
  2. Multiplication of two matrix
  3. Division of two matrix
  4. Power of a matrix
  5. Transpose of a matrix
  6. Determinant of a matrix
  7. Adjoint of a matrix
  8. Inverse of a matrix
  9. Prove that any two matrix expression is equal or not
  10. Minor of a matrix
  11. Cofactor of a matrix
  12. Trace of a matrix
1. Definition and Examples
(Previous example)		3. Division of two matrix
(Next method)

2. Example-2


1. Find `A × B` ...
`A=[[2,3],[4,10]]`,`B=[[5,1],[4,2]]`

Solution:
`A×B`=
`2``3`
`4``10`
×
`5``1`
`4``2`


=
`2×5+3×4``2×1+3×2`
`4×5+10×4``4×1+10×2`


=
`10+12``2+6`
`20+40``4+20`


=
`22``8`
`60``24`
2. Find `B × A` ...
`A=[[2,3],[4,10]]`,`B=[[5,1],[4,2]]`

Solution:
`B×A`=
`5``1`
`4``2`
×
`2``3`
`4``10`


=
`5×2+1×4``5×3+1×10`
`4×2+2×4``4×3+2×10`


=
`10+4``15+10`
`8+8``12+20`


=
`14``25`
`16``32`


This material is intended as a summary. Use your textbook for detail explanation.
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1. Definition and Examples
(Previous example)		3. Division of two matrix
(Next method)


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