Which terms of the [A], [B], and [D] matrices are zero for the following laminates? 2. [ 6] a) 8/...
8: Suppose that A and B are similar matrices, B = p-1AP, where 6 2 P = -1 1 We know that A and B have the same characteristic polynomial and the same eigenvalues. Suppose that 2 is one of the common eigenvalues and x = [4 1] is a corresponding eigenvector of A. Which of the following is the eigenvector of B corresponding to 2 ? "f1-4-0-0-0-0-01-10 #8: Select
(c): Suppose we have the following matrices. Which pairs of matrices can be validly multiplied together? For these pairs perform the multiplication. -2] A = 61-3 1-2 4 6 ,B = -8] 4 ,C = [1 4 2 5 3] 1,D = lo 6
(1 point) Let A and B be the following matrices. -9 -1 -8 2 B = -5 4 1 A = 1 2 8 -4 7 1 Perform the following operations: 64 64. 16 -8 -32 8 -8A = -56 72 89 80 7 -44 50 26 A+9B 11 71 -45 50 48 6 -26 6 -4A 2B 2 -24 -12 -28
2. (a) Consider the following matrices: A = [ 8 −6, 7 1] , B = [ 3 −5, 4 −7] C = [ 3 2 −1 ,−3 3 2, 5 −4 −3 ] (i) Calculate A + B, (ii) Calculate AB (iii) Calculate the inverse of B, (iv) Calculate the determinant of C. (b) The points P, Q and R have co-ordinates (2, 2, 1), (4, 1, 2) and (5, −1, 4) respectively. (i) Show that P Q~ =...
Let A, B, C, and D be matrices with the following sizes: A, 5×3 B, 3×2 C, 3×5 D, 1×3 Which of the following matrix operations are defined? i) AB (ii) A + 1 4 C (iii) DC
Let A and B be n by n matrices and suppose that tr(AB)=0. Which of the following statements can you infer about A and B? Select one: a. At least one of the matrices A and B must equal the zero matrix O b. A must equal the zero matrix O c. B must equal the zero matrix O d. Both A and B must equal the zero matrix e. AB must equal the zero matrix O f. None of...
Question 6 Given the following matrices A and B, compute the product AB, if possible. -6 10 -3 43-5 9 B-3 -2 9 10 -6 -5 -5-5 100 10 97 97 a) c -57 34 99 -66 92 12 00331 -5 100 45 -53 10 97 d) Not possible. -57 -66 e34 92 99 12 D None of the above. Question 7 Given the following matrices E and F, compute the product EF, if possible. 10 2
Find determinants of the following matrices: 1 5 7 -1 3 2 A= 3 2 8 B= 6 -2 3 C= 6 1 9 7 10 0 13 4 1 0 4 1 -7 2 3 -4 3 D= 4 12 -3 -9 2 6 7 8
in matlab 6. Create a big matrix with submatrices: The following matrix G is created by inserting the matrices A, B, and C from Exercise 3, together with zero matrices and 2 x 2 identity AY NOT llr SIIAIut. UMOADIT, SOLD Og1 DISTIunUTII》 THIS CONTENT IS PROTECTED AND M 019 2 CopprightQ Schoall of Mathercatical and Statistical Sceom Ariaona State Cniseesity matrices in the appropriate position. Create the matrix using submatrioes A, B, C, zeros and eye (that is, you...
Problem B-2. Prove that the matrices AAT and AT A have the same set of non-zero eigen- values. (Hint: consider the singular value decomposition of A)