Linear Algebra Examples

Find the Norm [[4,5,0],[11,1,2],[1,5,2]]
Step 1
The norm is the square root of the sum of squares of each element in the matrix.
Step 2
Simplify.
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Step 2.1
Raise to the power of .
Step 2.2
Raise to the power of .
Step 2.3
Raising to any positive power yields .
Step 2.4
Raise to the power of .
Step 2.5
One to any power is one.
Step 2.6
Raise to the power of .
Step 2.7
One to any power is one.
Step 2.8
Raise to the power of .
Step 2.9
Raise to the power of .
Step 2.10
Add and .
Step 2.11
Add and .
Step 2.12
Add and .
Step 2.13
Add and .
Step 2.14
Add and .
Step 2.15
Add and .
Step 2.16
Add and .
Step 2.17
Add and .
Step 3
The result can be shown in multiple forms.
Exact Form:
Decimal Form: