2. [16 marks) - T (a) Evaluate the determinant of matrix A where: ſi 3 -1...
Problem 8. a) Find the determinant det (A) for the matrix [1 -3 41 A 2 0 -1 1 b) Decide whether the matrix A has an inverse. If the inverse matrix A-1 exists, find its determinant det(A-1).
(16). Determine the determinant of the following n x n matrix: 2 3 II 2 3 0 3 00 9 (17). If A= then A= 9 3 7 2 1 (18). Let A= 1 2 If x= is an eigenvector of A-1, then k = 1 2 (19). Let A € R3x3 and det(A - 1) = det(A + 1) = det(A - 21) = 0. Then det(A) = 1 3 3 2 (20). The rank of matrix A =...
Please answer using MATHLAB. I need the code and the answer. Thanks, Use MATLAB or Scilab to perform the following matrix operations 1) Find the determinant of ſi 7 -2 31 5 -1 9 13 2 51 31 4 6 18 -4 21 2) Find the inverse (A-2) of ſi 7 -2 3] 5 -1 9 13 2 51 314 6 18 -4 2' 3) Given the following set of linear equations X, + 2 x, – x3 + xy...
Evaluate the determinant of the matrix and state whether the matrix is invertible. 1 -3 17 E=1-17 2 -5 29 Part: 0/2 Part 1 of 2 The determinant is
Problem 1 Consider the matrix Problem 1 Consider the matriz a 2 5 3 11 08 a Find the cofactors C11,C2,C3 of A. b Find the determinant of 1, det(A) [ 2 4 61 Problem 2 Consider the matriz A=008 | 2 5 3 a Use the ero's to put A in upper triangular form 5 Pinul the determinant of A. (A) by keeping track of the row operations in part a and the properties of determinant Problem 3 Consider...
(1 point) Find the determinant of the matrix [1 0 0 -2] M-1 0 3 0 To 3 0 Lo 1 -3 2 o det(M) =
1 2 -1 0 0 1 0 0 -1 3 ſi 2 0 2 5 [10 (11 points) The matrix A= 2 1 3 2 7 reduces to R= 0 3 1 a 6 5 0 1 Let ui, , 13, 144, and us be the columns of U. (a) Determine, with justification, whether each of the following sets is linearly independent or linearly dependent. i. {u1, 12, 13) ii. {u1, 13, us} iii. {u2, 13} iv. {u1, 12, 13,...
PLEASE ANSWER ALL PARTS 1. (2 points) For the matrix A=| 3 | 6 | Evaluate (a) A, AA* and AA; (b) the value P (A), where P(x)-x3-1. 2. (1 point) Compute the determinant of the matrix A = | α β 2 -8 6 8 2 -7 7 10 3, (1 point) Compute | 1 -3 0 6 4. (1 point) Find the inverse matrix A-' of the matrix A=1 5 3-2 7 4 -3 5. (3 points) Find...
linear algebra Let V (71, 72, 3}, where 71 73=(2,0,3). (1,3,-1), 2 = (0, 1,4), and (a) Prove: V is a basis. (b) Find the coordinates of (b, b2, bs) with respect to V = {71, U2, 3,}. (c) Suppose M and M' are matrices whose columns span the same vector space V. Let b be the coordinates of relative to M. Write a matrix equation that gives b', the coordinates of relative to M'. (Your answer should be a...