An orthogonal basis for the column space of matrix A is {V₁, V₂, V3}. Use this orthogonal basis to find a QR factorization of matrix A. Q= R= (Type exact answers, using radicals as needed.) A = -1 0 1 1 25 -2 1 23 42 48 V₁ = 1 0 1 V₂ = 1 2 V3 11 3 لی 3 0 - 3 3
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- 2) The vertices of a wedge are given in the matrix show below. Rotate the wedge 30* CCW around the x-axis and then 45° CW around the y-axis. r0 0 0 0 0 11 4 0 0 [P] 4 0 2 0 3 o 3 0.Solve for the inverse of the given matrix using Adjoint of a Matrix. 1 7 -5 |A| =|-2 1 1 %3D 4 8 9Solve the following: (Show all details) 1. Let matrices be ГО 21 C = 2 4 li 3] [0 -5 -3] 11 D = |-4 7 L-8 3. 4] [6 A = |-1 2 2 B = |-5 2 4 4. L-3 4 [-4.5] v =| 0.8 u = |0 1.2. Find the following expressions or give reasons why they are undefined. i. C+ D, D + C, 6(D-C), 6C-6D ii. A + C-D, C-D, D-C, B + 2C + 4D iii.33u, 4v + 9u, 4(v + 2.25u), u-v
- 7. Given a square matrix 1 -2 0. A%3= -3 -1 0 1z hurmuzi is presenting 1. x-y coordinate 2 x'-y'coordinate y' Calculate YF, and F, ustng : 200cos25 20 + 25 200N 45 S0N 20 200sin25 100N sajn ^ Type here to searchFind the value of the determinant D given by: a b 3 D = c d -4 6 9 9 where a = 2, b = 4, c = 9, d = 13 Give your answer as an integer.
- Question 10 The dimensions of an augmented matrix is 4 x 6. The corresponding system of linear equations has how many variables and how many equations? O 4 variables, 6 equations 5 variables, 4 equations O 6 variables, 3 equations 6 variables, 4 equations13 8. -2 What is the cofactor of the element zero (0) in the matrix -1 -2 1 O-34 O-3 34 3-1 A = 4 3. B = 2 - 2 1 Use the following matrices in questions 1 and 2: 5 -6 A + 51 1. Evaluate 4
- A A squere plate is boended by the liner x = ±2, y= ± 2. The boundlary femperatures %3D are on the hine y=2, T=-8o on the line x-12,T=-40Y on the line y=-2, T= 240 + 8ox for -25x Ko 7 = 240 - 8o x tor oSaved em Set 02 - Chapter 2 Part 1 Required information of 2 Consider the following vectorial representations. Add the three vectors shown to form a resultant vector R , and report your result using polar vector representation. Take Y= 3 m. 2 m ok 3 m 30° 162 2 (Enter a positive value for the phase angle.) 4.84 m @ cesm and n are orthogonal vectors. Let their component forms be defined as (mx, my) and (nx, ny) respectively, where all values are integers. mx+nx=-3 and nymy=40. If OSEE MORE QUESTIONSRecommended textbooks for youElements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University Press
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