Linear algebra please answer with the solution! 7 (a)5* (d0 (e) None of these 5(

Question

Linear algebra

please answer with the solution!

7 (a)5* (d0 (e) None of these 5(-2) 8 Which vector is an eigenvector of the matrix A = | 0-5 0 | ? 1 -2 1 (a)1 (d)-5 (e) None of these 9 Which of the following is not true for an inner product? (a) llull (mu) (c) (u+w.v)=(u,v)+(w,v) (e) None of these (b) u,v) = v, u (d) ou,v)=(u, ov) 10 Let A be an m × n matrix whose rows form an orthonormal set. Which conclusion is correct? (a) AAI (d) The rank of A is n (b) A is invertible (e) None of these (c) ATA = 1 11 The orthogonal projection of the vector (1,2, 3) onto (-1,1,2) is: (a) 1, 2, 3 (d)-1, 1.2> (b) 1, 2, 3 (e) None of these 12 Consider two bases B = {ul,u2} and B, = {vi, v2} for a certain vector space V. Assume that ui = 4V1 + v2 and u2 =-6V1 + v2. If w 3uit 112, what is [w]B'? (d)1 (e) None of these

Explanation / Answer

Answer:

7. An incomplete problem.

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8. e.

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9. d

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10. b

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11. b

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12.b

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