Let A = UZVT, where || [600] 020 0 0 00 00 7 10-1 0 01...

  

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Let A = UZVT, where || [√600] 020 0 0 00 00 7 10-1 0 01 0 -1 1 0 01 0 1 21 0 (a) What is the rank of A? (b) max 1 | Az|| (c) det(ATA) (d) What are the eigenvalues of ATA? V = (e) Find an orthonormal basis for Row(A). (f) Find an orthonormal basis for Nul(A¹). 1/√√3 1/√√2 -1/√3 0 1/√3 -1/√2 1/√6] 2/√6 1/√6] Let A = UZVT, where || [√600] 020 0 0 00 00 7 10-1 0 01 0 -1 1 0 01 0 1 21 0 (a) What is the rank of A? (b) max 1 | Az|| (c) det(ATA) (d) What are the eigenvalues of ATA? V = (e) Find an orthonormal basis for Row(A). (f) Find an orthonormal basis for Nul(A¹). 1/√√3 1/√√2 -1/√3 0 1/√3 -1/√2 1/√6] 2/√6 1/√6]

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