Find the Norm [[223,333],[111,22]]

Problem

‖[223,333],[111,22]‖_F

Solution

1. Identify the type of norm to be calculated. For a matrix, the default norm is typically the Frobenius norm, which is the square root of the sum of the squares of all elements.

2. Square each individual element of the matrix.

223^2=49729

333^2=110889

111^2=12321

22^2=484

3. Sum the squared values together.

49729+110889+12321+484=173423

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

√(,173423)≈416.44087

Final Answer

‖[223,333],[111,22]‖_F=√(,173423)

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