For this assessment, you will develop an 8–14 slide PowerPoint presentation with thorough speaker's notes designed for a hypothetical in-service session related to the improvement plan you developed in Assessment 2.

[SOLVED] MAT350 7.3 MATLAB: Norms and Distances

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MAT350 7.3 MATLAB: Norms and Distances

Consider the column vector v.  The norm() command is used to find the Euclidean norm, the 4-norm, and the infinity-norm.

v = [-4; 3]

two_norm = norm(v, 2)

four_norm = norm(v, 4)

infinity_norm = norm(v, Inf)

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MAT350 7.3 MATLAB: Norms and Distances

Consider the column vector v.  The norm() command is used to find the Euclidean norm, the 4-norm, and the infinity-norm.

v = [-4; 3]

two_norm = norm(v, 2)

four_norm = norm(v, 4)

infinity_norm = norm(v, Inf)

 

Consider the matrix A.  The norm() command is used to find the Frobenius norm.

A = [1/sqrt(6) 0; -2/sqrt(6) 1/sqrt(6)]

fro_norm = norm(A, ‘fro’)

Use the following vectors and matrices for this activity.

 

u = [ 4 ] , v = [ -4 ] , A = [ 3 -7 4 3 ] , B = [ 1 -7 2 5 ]

3          -12           -2 4 -5 0          0  0 -5 2

 

To find the

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Euclidean distance between two vectors, find the 2-norm of the difference of those vectors.  Enter column vectors u and v.  Then use the norm() command to find d(u,v), storing it in dist_uv.

u = [4 ; 3]

v = [-4 ; -12]

dist_uv = norm(u-v, 2);

To find the distance between two matrices with respect to the Frobenius inner product, find the Frobenius norm of the difference of those matrices.  Enter matrices A and B.

Then use the norm() command to find d(A,B), storing it in dist_AB.

A = [3 -7 4 3; -2 4 -5 0]

B = [1 -7 2 5; 0 0 -5 2]

dist_AB = norm(A-B, ‘fro’);

Related; MAT350 6.5 MATLAB: Diagonalization.

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