QUESTION 16 -5-60 Determine if the matrix -6 -4 8 is symmetric. 0 -36] Select the...
-5 -6 0 Determine if the matrix -6 -4 8 is symmetric. 0 -36 Select the correct choice below. O A The matrix is symmetric because it is equal to its inverse. B. The matrix is not symmetric because it is not equal to its inverse. o C. The matrix is not symmetric because it is not equal to its transpose. OD. The matrix is not symmetric because it is not equal to negative of its transpose. O E. The...
The rank of the matrix 4 -8 0 16 6 2 2 0 -2 -10 -2 16 6 16 4. 24 is Select one: O A. 4 O B. 3 O C. 1 O D. 2 O E. None of these answers
[12] QUESTION 4 (a) Let A be an m × m symmetric matrix and P be an orthogonal matrix such the PAP-D,where D is a diagonal matrix with the characteristic roots of A on the diagonal. Show that PA P is also a diagonal matrix. (b) Let A be an m × n matrix of rank m such that A = BC where B and C each has rank m. Show that (BC) CB. 16 STA4801/101/0/2019 (c) For the matrix...
3 8 16 (0 complete) This Q Plot each point and form the triangle ABC. Show that the triangle ABC is a right triangle. Find its area. A (-2,11); B (5,7); C ( 1,0) Choose the correct graph below that shows points A, B, C, and triangle ABC. O A. O B. O C. OD. -14 14 Ha Show that the triangle ABC is a right triangle. Select the correct choice below and fill in the answer boxes to complete...
[12] QUESTION 4 (a) Let A be an m × m symmetric matrix and P be an orthogonal matrix such the PAP-D,where D is a diagonal matrix with the characteristic roots of A on the diagonal. Show that PA P is also a diagonal matrix. (b) Let A be an m × n matrix of rank m such that A = BC where B and C each has rank m. Show that (BC) CB. 16 STA4801/101/0/2019 (c) For the matrix...
Question 1: Question 2: Thx, will give a thumb Determine the algebraic and geometric multiplicity of each eigenvalue of the matrix. 2 3 3 3 2 3 3 3 2 Identify the eigenvalue(s). Select the correct choice below and fill in the answer box(es) to complete your choice. O A. There is one distinct eigenvalue, 1 = OB. There are two distinct eigenvalues, hy and 12 (Use ascending order.) OC. There are three distinct eigenvalues, 14 , 22 = (Use...
Find the transpose of the matrix. 8 41 -4 0 2 Select one: 7 8 O B. 0 -4 7 -7 OC. -7 7 8 4 8-4-7 4 0 7 2
[ 3-3] 0-71 Find the following matrices where A = -5 -3 and B = 3 - 8 | -3 -1 ] [5 -9] b. A-B c. 9A d. -3A-3B a. A +B a. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. A+B= (Simplify your answers.) O B. This matrix operation is not possible. b. Select the correct choice below and, if necessary, fill in the answer box to...
19 of 20 This Question: 4 pts Use the specified row transformation to change the matrix 4 times row 1 added to row 2 19 5 -4 2-1 77 0 What is the transformed matrix? 1 95 7 70 Enter your answer in each of the answer boxes Save for Later Suppose that in solving an equation over the interval [0,360º), you reach the step sin 0 - - Why is - 30° not a correct answer? Choose the correct...
Diagonalize the following matrix. The real eigenvalues are given to the right of the matrix. 5 1 1 1 5 1 :1 = 4,7 1 1 5 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. 400 D=070 O A. For Pa 0 0 7 4 0 0 OB. For Pa .D= 0 4 0 0 0 7 OC. The matrix cannot be diagonalized.