[Question 3, 12 points total, including 3.1-3.2] (minhasbing) Consider the following matrix, d1 0 d4 0 1 1 4 6 1 3 5 2 0 0 1 0 d2 1 0 1 0 0 1 d3 1 1 0 1 1 0 0 0 0 where each column represents a document (altogether we have 4 documents, di, d2, d3 and d4), and the number of rows is the size of the universal word set. Note the first column, ie, column...
3. Let A 2 -30 1 0 -2 2 0 (i) Compute the determinant of A using the cofactor expansion technique along (a) row 1 and (b) column 3. (ii) In trying to find the inverse of A, applying four elementary row operations reduces the aug- mented matrix [A1] to -2 0 0 0 0 -2 2 1 3 0 1 0 1 0 -2 Continue with row reductions to obtain the augmented matrix [1|A-') and thus give the in-...
please show mechanism. There is 5 steps ! 1.1 R:Rh2(OAc), S:CH22, 3 h, 0°C; 72 h, rt 2.1 R:LiAIH4, S:ELO, 0°C; 15 min, rt 3.1 R:Br, S:CH2Cl2, 0°C 3.2 R:Na,S,0, S:H,O 4.1 R:t-BuOK, S:THF, 0°C; 2 h, 75°C 4.2 R:NH CI, S:H20 5.1 R:Et,N, S:MeCN, overnight, rt We were unable to transcribe this image 1.1 R:Rh2(OAc), S:CH22, 3 h, 0°C; 72 h, rt 2.1 R:LiAIH4, S:ELO, 0°C; 15 min, rt 3.1 R:Br, S:CH2Cl2, 0°C 3.2 R:Na,S,0, S:H,O 4.1 R:t-BuOK, S:THF,...
25 1. L'(9082+2) 2.1-2 (15+23782+2) 3.1-45+23481727) 4.1-967293 5. Considering the circuit, 2[0] 1[0] M ANA a) Find the voltage across the inductor as a function of time (V_(t)) using Laplace transformation. (11[a] 2 HŽ V = ?
2 (1 point) Show that A= 55 -3 1] 2 0 1 LO 03 and B= -3 9 | 12 0 6 -4 are similar matrices by finding an invertible matrix P satisfying 11] -4 A=P-1BP. P-1 =
1 1 2 1 0 3 -3 6 1. (a) Bring the matrix A = -1 2-5 5 to the echelon form. Find a basis for the 2 1 5 0 image and the kernel of the linear function associated to A. (b) Show that is a solution of the characteristic polynomial of an n x n matrix A if and only if there exists v ER", v = 0, such that Av = \u.
3.) Find the equations of kinematics (? = ?0 + ?0? + 1/2 ??2 & ? = ?0 + ??) by first setting up the corresponding Hamiltonian and finding Hamilton’s equations (?̇ = − ??/?? & ?̇ = ??/?? ) for a particle of mass m that is only acted upon by the force of gravity and moving in a vertical line. Show all your work for credit.
0 1 1 0 0 0 2 0 0 3. (8) Given A 0 0 0 0 0 Find: (1) an orthonormal basis for each of the fundamental subspaces of A; (2) the pseudo-inverse of A; (3) the projection matrix of the column space and the projection matrix of the row space of A.
Slove 2nd problem plz (1) Find the eigenvalues and corresponding eigenvectors of [o1 0 0 0 1 2 1 -2 HINT: Note that 13 + 2/2 - 1 - 2 can be regrouped as 1(12 - 1)+2(12-1). Then factor out the common (12 - 1). (2) Solve the equation Y" + 2y' - - 2y = 0) using the method of converting to a linear system of first-order ODE's. Show that the coefficient matrix is the 3 x 3 matrix...
1 A= 11 3 0 0 0 0 0 0 0 0 1 LO 0 0 0 ro 0 0 LO 1 1 0] 0 0 1 0 0 0 0 0 0 1 1 0 0 0 1 0 0 0 LO 0 0 C = 11 0 0 0 Which of the matrices below is the reduced row echelon matrix A. Matrix A and B B. Matrix A and C C. Matrix B and C D. All matrices...