Find the Norm [[2,7],[3,11]]

Problem

‖[2,7],[3,11]‖

Solution

1. Identify the type of norm to be calculated. In the absence of a specific subscript, the Frobenius norm is the standard norm for a matrix, which is the square root of the sum of the squares of all its elements.

2. Square each individual element of the matrix.

2^2=4

7^2=49

3^2=9

11^2=121

3. Sum the squared values together.

4+49+9+121=183

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

√(,183)

Final Answer

‖[2,7],[3,11]‖=√(,183)

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