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Home > Matrix & Vector calculators > Addition of two matrix example
1. Matrix Addition, Matrix Subtraction 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)		2. Multiplication of two matrix
(Next method)

2. Example-2


1. Find `2A + 3B ` ...
`A=[[3,1,1],[-1,2,1],[1,1,1]]`,`B=[[5,0,-2],[7,-6,0],[1,1,2]]`

Solution:
`2 × A` = `2` × 
`3``1``1`
`-1``2``1`
`1``1``1`
 = 
`6``2``2`
`-2``4``2`
`2``2``2`


`3 × B` = `3` × 
`5``0``-2`
`7``-6``0`
`1``1``2`
 = 
`15``0``-6`
`21``-18``0`
`3``3``6`


`2 × A + 3 × B` = 
`6``2``2`
`-2``4``2`
`2``2``2`
 + 
`15``0``-6`
`21``-18``0`
`3``3``6`
 = 
`6+15``2``2-6`
`-2+21``4-18``2`
`2+3``2+3``2+6`
 = 
`21``2``-4`
`19``-14``2`
`5``5``8`
2. Find `2A - 3B ` ...
`A=[[3,1,1],[-1,2,1],[1,1,1]]`,`B=[[5,0,-2],[7,-6,0],[1,1,2]]`

Solution:
`2 × A` = `2` × 
`3``1``1`
`-1``2``1`
`1``1``1`
 = 
`6``2``2`
`-2``4``2`
`2``2``2`


`3 × B` = `3` × 
`5``0``-2`
`7``-6``0`
`1``1``2`
 = 
`15``0``-6`
`21``-18``0`
`3``3``6`


`2 × A - 3 × B` = 
`6``2``2`
`-2``4``2`
`2``2``2`
 - 
`15``0``-6`
`21``-18``0`
`3``3``6`
 = 
`6-15``2``2+6`
`-2-21``4+18``2`
`2-3``2-3``2-6`
 = 
`-9``2``8`
`-23``22``2`
`-1``-1``-4`


This material is intended as a summary. Use your textbook for detail explanation.
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1. Definition and Examples
(Previous example)		2. Multiplication of two matrix
(Next method)


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