Find the products AB and BA for the diagonal matrices. -=[ -), 0-105] AB = BA...
Find the products AB and BA for the diagonal matrices. A0-5 В 02 AB
Find each of the matrices or explain why it is not defined: A+B; BA; AB, if А ſi 4 02 7] ſo 1 11 B = 1 -1 2 2 3 0
please answer the five questions clearly. I have provided the data. 7 Diagonal Matrices Diagonal Matrices If A = (a) is a square matrix, then the entries and are called diagonal entries. A square matrix is called diagonal if all non-diagonal entries are zeros. Explore what happens if we add, subtract or multiply diagonal matrices. A and B are the same matrices in previous sections ( section 5.) Type D-diag(diag(A)) to create a diagonal matrix from A. Type E-diag(diag(B)) to...
please show steps Let 0 a12 a13 a14 0 a34 a42 023 a43 0 a14 a31 a24 a41 0 a12 a32 a13 a21 0 a21 0 a2 a2 a31 a32 0 a34 be two antisymmetric matrices, where ak -aki, or ATA and BT -B. Show that AB BA and present this diagonal matrix as follows BA AB (a32014 +a13024 a21a34) I, where I is the 4 x 4-identity matrix. Find A-1 and B-1. (H. Minkowski, 1908) Let 0 a12 a13...
44. a.Let A and B be two 2 × 2 matrices,Let Tr denote the trace and det denote the determinant. Prove that Tr(AB)-Tr(BA) and det(AB) - det(BA). b. If A is any matrix in SLa(R), prove that det ((-A-t +1 where t = Tr(A). 44. a.Let A and B be two 2 × 2 matrices,Let Tr denote the trace and det denote the determinant. Prove that Tr(AB)-Tr(BA) and det(AB) - det(BA). b. If A is any matrix in SLa(R), prove...
1. For each of the following symmetric matrices, find an orthogonal matrix P and diagonal matrix D such that PTAP = D. 0 1 (а) А — 1 0 1 -1 1 0 2 -2 (Ъ) А %— -2 -2 -4 -2 2 |3 0 7 0 5 0 7 0 3 (с) А %— 1. For each of the following symmetric matrices, find an orthogonal matrix P and diagonal matrix D such that PTAP = D. 0 1 (а)...
Let A and B be n × m, and m × n matrices over F respectively. Prove that rn ) = det(In-AB) = det(I,n-BA). In det A Let A and B be n × m, and m × n matrices over F respectively. Prove that rn ) = det(In-AB) = det(I,n-BA). In det A
Find AB and BA, if possible. (If not possible, enter IMPOSSIBLE in any single blank.) 5 -4 -5 31 B = 1 3 5 - AB = 11 BA = 11 Find AB and BA, if possible. (If not possible, enter IMPOSSIBLE in any single blank. A = 0 4 1 -3 1 -3 3 0 AB= 1 ВА =
three seperate questions multiple choice Given A= -(-18)and B=(1-32] Find the matrix product AB, if it is defined. 0-6 21 1 -18 12 [-28 - 3 6-71 -20 -1 19 (3 7-11 -20 19 AB is undefined. The sizes of two matrices A and B are given. Find the sizes of the product AB and the product BA, if the products are defined A is 2 * 3, B is 3 * 2. AB is 3 x 3, BA is...
Note that is the -Jordan block of size m with 's in the diagonal and 1 to the right of the diagonal. 3. A Mercator matrix is a matrix A E Matn,n(R) such that pA(x) = (x-aj (x-4) for some α' E R, which are not necessarily distinct, such that 0 < α' < 2. Let Mn(R) be the set of Mercator matrices. As in Tutorial 1, if A EM(R) define the logarithm of A to be the matrix given...