For A = 12 2 1 Find a matrix U whose columns are orthonormal vectors. For M = find a matrix whose columns are eigenvectors Find a matrix D=UT AU which is a diagonal matrix. 40 07 find M³.

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A: We use the definition of eigenvector to solve the problem

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A: Follow step 2nd.

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A: As given eigenvalues are 10,10,1. So eigenvectors are given by, A-λIV=0 where V is the eigenvector…

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A: To check that (eigenvalue of A- alpha) is an eigenvalue of B.

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A: Introduction: The projection of a vector onto another vector is the application of dot product. This…

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A: Suppose A is 4×3 matrix whose elements are all 1's.  What is the eigenvalues of AAT?

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A: let  I be the 4×4  identity matrix I=1000010000100001

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A: Our objective is given below:

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