Find a Singular Value Decomposition for the Matrix

Q65: Find the vector in the subspace S

Q66: Express the given matrix <img src="https://d2lvgg3v3hfg70.cloudfront.net/TBMC1039/.jpg" alt="Express

Q67: Determine <img src="https://d2lvgg3v3hfg70.cloudfront.net/TBMC1039/.jpg" alt="Determine ,

Q68: The eigenvalues for the symmetric matrix A

Q69: Find an orthogonal basis for the subspace

Q70: If <img src="https://d2lvgg3v3hfg70.cloudfront.net/TBMC1039/.jpg" alt="If is

Q71: If <img src="https://d2lvgg3v3hfg70.cloudfront.net/TBMC1039/.jpg" alt="If is

Q73: Find the singular values for the matrix

Q74: Determine all values of a so that

Q75: Find all values of a so that