Find the Norm [[3,4,24],[7,1,31]]

Problem

‖[3,4,24],[7,1,31]‖

Solution

1. Identify the type of norm to be calculated. Since no specific norm was requested for this matrix, the Frobenius norm is the standard default for matrices.

2. Square each individual element of the matrix.

3=9

4=16

24=576

7=49

1=1

31=961

3. Sum all the squared values together.

9+16+576+49+1+961=1612

4. Take the square root of the sum to find the Frobenius norm.

√(,1612)=√(,4⋅403)

√(,1612)=2√(,403)

Final Answer

‖[3,4,24],[7,1,31]‖F=2√(,403)

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