Find the Norm [[2.3,3.6],[1.4,5]]

Problem

‖[2.3,3.6],[1.4,5]‖

Solution

1. Identify the type of norm to be calculated. Since no specific norm was requested, the Frobenius norm (the Euclidean norm for matrices) is the standard choice.

2. Square each individual element of the matrix.

2.3=5.29

3.6=12.96

1.4=1.96

5=25

3. Sum all the squared values together.

5.29+12.96+1.96+25=45.21

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

√(,45.21)≈6.723838

Final Answer

‖[2.3,3.6],[1.4,5]‖F=√(,45.21)≈6.7238

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