Let Fs = (1,x, x), F = (1+x,1+x,1 + 2x 2x), F' = (1-x, 1-, 1-2x...

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Let Fs = (1,x, x), F = (1+x,1+x,1 + 2x 2x), F' = (1-x, 1-, 1-2x + 2x). Let Ms= - (69) (9) 6 ) C 9)), (G). (1). ( 2) (9) (1 M = 2 M': -(( 2) ( 2) ( 3) ( 3)) 9 For exercises 1 - 4 see Method (5.4.1). 1. Compute [3+ 2x +x] 2. Compute [3 + 2x +x]F 3. Compute 1)IM 4. Compute (1)M For exercises 5 - 13 see Method (5.4.3). 5. Compute PF+Fs 6. Compute PF+F 7. Compute PF+F' 8. Compute PF +F 9. Compute PF+F 10. Compute PMs +M 11. Compute PMs+M' 12. Compute PM+M' 1. Given vectors = and v= in R, compute a) Compute u.v. (-3x-2)(5) b) Compute |lu| and |||| (7) (-2)(5) c) Compute |u+v|| and lu - v. d) Compute the angle between the vectors and v. Express the angle in degrees, accurate to two decimal places. e) Compute the orthogonal projection of v onto u. a) Compute A - B. (XXL)(O) 2. Given two matrices in M,2, and the following inner product A = = D. B = b) Compute < A-B,A-B>. = [] = 201b1 + a2b + a2b12 + 2022b22 Let Fs = (1,x, x), F = (1+x,1+x,1 + 2x 2x), F' = (1-x, 1-, 1-2x + 2x). Let Ms= - (69) (9) 6 ) C 9)), (G). (1). ( 2) (9) (1 M = 2 M': -(( 2) ( 2) ( 3) ( 3)) 9 For exercises 1 - 4 see Method (5.4.1). 1. Compute [3+ 2x +x] 2. Compute [3 + 2x +x]F 3. Compute 1)IM 4. Compute (1)M For exercises 5 - 13 see Method (5.4.3). 5. Compute PF+Fs 6. Compute PF+F 7. Compute PF+F' 8. Compute PF +F 9. Compute PF+F 10. Compute PMs +M 11. Compute PMs+M' 12. Compute PM+M' 1. Given vectors = and v= in R, compute a) Compute u.v. (-3x-2)(5) b) Compute |lu| and |||| (7) (-2)(5) c) Compute |u+v|| and lu - v. d) Compute the angle between the vectors and v. Express the angle in degrees, accurate to two decimal places. e) Compute the orthogonal projection of v onto u. a) Compute A - B. (XXL)(O) 2. Given two matrices in M,2, and the following inner product A = = D. B = b) Compute < A-B,A-B>. = [] = 201b1 + a2b + a2b12 + 2022b22