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...
A= [1 2 3 -1 4 5 1 6 7 please find the inverse or A^-1 of the given matrix A by using the Gauss-Jordan Elimination method
2. Inverse of a square matrix: Determine the inverse matrix [A™'] of the given square matrix [A] using the Gauss-Jordan Elimination Method (GEM), and verify that [A-!] [A] = I where I is the identity matrix. A = [ 1 4 -27 0 -3 -2 | -3 4 1
Linear Algebra CS TIONARY 2 -11 6) Find the inverse of the matrix -4 -7 1 4 -2 -6 if it exists. Show all work. No work, no credit. Use the algorithm we discussed in class. MIFFLIN COMPANY
Given the matrix A = 1 0 −1 1 3 2 6 −1 0 7 −1 6 2 −3 −2 b) If W = span{[1,0,−1,1,3], [2,6,−1,0,7], [−1,6,2,−3,−2]}, find a basis for the orthogonal complement W⊥ of W. c) Construct an orthogonal basis for col(A) containing vector [1 2 −1] . d) Find the projection of the vector v =[−3 3 1] onto col(A). Please show all work and steps clearly so I can follow your logic and learn...
For the matrix A= 2 4 -7 -8 find a C matrix in the decomposition where A = PCP-1. 3 3 -3 - 31 1/3 -3 1.C= ( 20-6* 2.0-6 c- 3 -3 3 3 4. C= 4 0 -5 V3
1. 2. The matrix A is given by 7 The diagonal terms are 8, 7 and 5. The non-diagonal terms are unknown Two of the eigenvalues of A are 6 and 4 What is the of the third eigenvalue. 2. Using Newtons method find the value of x that minimizes the function X -sin x is in radians. Start with x 0.5 4. Use the golden section rule to find the value of that minimizes the function f(x) x-14x+607-70x in...
linear Algebra Find the optimal row and column strategies and the value of each matrix game. 4. a, A=[3 5 3 2 -1 91 8 0 1 -1 43 b. A=11-1 3-1-3 2 -1 4 0 -2 -I 0-221」 Find the optimal row and column strategies and the value of each matrix game. 4. a, A=[3 5 3 2 -1 91 8 0 1 -1 43 b. A=11-1 3-1-3 2 -1 4 0 -2 -I 0-221」
solve it clear please ????? 6 0 0 1 Q2. Consider the matrix A = 2 -5 -6 -50 (a) Find all eigenvalues of the matrix A. (7 pts) (b) Find all eigenvectors of the matrix A. (8 pts) (c) Do you think that the set of the eigenvectors of A is a basis for the vector space R$? (Justify your answer) (5 pts) Q5. Consider the square matrix A = (a) Show that the characteristic polynomial of A is:...
Please show all work, thank you 4. Let A be the following matrix. A=124 (a) Find the inverse of the following matrix using cofactors. (b) Check that your answer is correct by computing AA-1to see that you get I.