Linear Algebra Examples

Simplify the Matrix [[0,1,0,2],[1,-1,-2,2],[0,1,3,-3],[-2,2,3,-2]]+[[0,-1,0,-2],[-1,1,2,-2],[0,-1,-3,3],[2,-2,-3,2]]+[[1,3,-2,-1],[-3,-12,10,6],[0,-2,2,1],[-2,-6,5,3]]+[[1,3,-2,-1],[-3,-12,10,6],[0,-2,2,1],[-2,-6,5,3]]+[[0,1,0,2],[1,-1,-2,2],[0,1,3,-3],[-2,2,3,-2]]
Step 1
Add the corresponding elements.
Step 2
Simplify each element.
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Step 2.1
Add and .
Step 2.2
Subtract from .
Step 2.3
Add and .
Step 2.4
Subtract from .
Step 2.5
Subtract from .
Step 2.6
Add and .
Step 2.7
Add and .
Step 2.8
Subtract from .
Step 2.9
Add and .
Step 2.10
Subtract from .
Step 2.11
Subtract from .
Step 2.12
Add and .
Step 2.13
Add and .
Step 2.14
Subtract from .
Step 2.15
Subtract from .
Step 2.16
Add and .
Step 3
Adding any matrix to a null matrix is the matrix itself.
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Step 3.1
Add the corresponding elements.
Step 3.2
Simplify each element.
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Step 3.2.1
Add and .
Step 3.2.2
Add and .
Step 3.2.3
Subtract from .
Step 3.2.4
Subtract from .
Step 3.2.5
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Step 3.2.6
Subtract from .
Step 3.2.7
Add and .
Step 3.2.8
Add and .
Step 3.2.9
Add and .
Step 3.2.10
Subtract from .
Step 3.2.11
Add and .
Step 3.2.12
Add and .
Step 3.2.13
Subtract from .
Step 3.2.14
Subtract from .
Step 3.2.15
Add and .
Step 3.2.16
Add and .
Step 4
Add the corresponding elements.
Step 5
Simplify each element.
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Step 5.1
Add and .
Step 5.2
Add and .
Step 5.3
Subtract from .
Step 5.4
Subtract from .
Step 5.5
Subtract from .
Step 5.6
Subtract from .
Step 5.7
Add and .
Step 5.8
Add and .
Step 5.9
Add and .
Step 5.10
Subtract from .
Step 5.11
Add and .
Step 5.12
Add and .
Step 5.13
Subtract from .
Step 5.14
Subtract from .
Step 5.15
Add and .
Step 5.16
Add and .
Step 6
Add the corresponding elements.
Step 7
Simplify each element.
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Step 7.1
Add and .
Step 7.2
Add and .
Step 7.3
Add and .
Step 7.4
Add and .
Step 7.5
Add and .
Step 7.6
Subtract from .
Step 7.7
Subtract from .
Step 7.8
Add and .
Step 7.9
Add and .
Step 7.10
Add and .
Step 7.11
Add and .
Step 7.12
Subtract from .
Step 7.13
Subtract from .
Step 7.14
Add and .
Step 7.15
Add and .
Step 7.16
Subtract from .