Question 4 [10 points] If E, F, G are the following elementary matrices, compute the given...
Question 1 [10 points] Given the following matrices A and B, find an elementary matrix E such that B- EA You can resize a matrix (when appropriate) by clicking and dragging the bottom-right corner of the matrbx. 4 6-6 0 7 0 5-2 -4 -7 1-10 -4 6-6 0 4 -4 9-3 4 -4 9-3 o 0 0 E- 0 0 0
Question 14 [10 points] Given the following matrix A, find an invertible matrix U so that A is equal to UR, when R is the reduced row-echelon form of A: You can resize a matrix (when appropriate) by clicking and dragging the bottom right corner of the matrix. 5 -10 5 50 -15 A = 2 -3 1 17 -5 -1-24 7 -3 4 000 000 00 0 Question 14 [10 points] Given the following matrix A, find an invertible...
Solve for A: You can resize a matrix (when appropriate) by clicking and dragging the bottom right corner of the matrix -4-6-3 2 2 -6 -3 A1--1 6 -8 7 -7 -10 8 2 3 -5-4 000 A-0 0 0 O O 0 Solve for A: You can resize a matrix (when appropriate) by clicking and dragging the bottom right corner of the matrix -4-6-3 2 2 -6 -3 A1--1 6 -8 7 -7 -10 8 2 3 -5-4 000...
Help with system of linear equations. Question 11 [10 points] Solve the following system of linear equations 2x1-4x2 2x3+4x46 2x1+5x2+x3-5x4 12 x1+3x2+x3-6x 11 -2x1+6x2-x3-2x4 -14 if the system has You can The system has no solution no solution, demonstrate this by giving a row-echelon form of the augmented matrix for the system. appropriate) by clicking and dragging the bottom-right corner of the matrix. Row-echelon form of augmented matrix: 0 0 0 Official Time: 16:52:07 SUBMIT AND MARK
Please show all steps in completing this problem, thank you very much! Solve the system Ax=b using the LU factorization of A and the matrix b given below. -2 0 0 1 -1 -2 7 A=LU= -2 -1 0 0 1 3 -17 2 -1 -2 0 0 1 -5 b= 12 12 -10 You can resize a matrix (when appropriate) by clicking and dragging the bottom-right corner of the matrix. The system has infinitely many solutions Number of Parameters:...
a. The elementary matrix ?1E1 multiplies the first row of A by 1/6.b. The elementary matrix ?2E2 multiplies the second row of A by -4.c. The elementary matrix ?3E3 switches the first and second rows of A.d. The elementary matrix ?4E4 adds 6 times the first row of A to the second row of A.e. The elementary matrix ?5E5 multiplies the second row of B by 1/3.f. The elementary matrix ?6E6 multiplies the third row of B by -4.g. The elementary matrix ?7E7 switches the first and third rows of B.h. The elementary matrix ?8E8 adds...
6. (5 points) Suppose the elementary matrix E is of this form (a) Compute the matrix multiplication EB (b) Compute the determinant of EB using the cofactor expansion along the 1st row of the matrix, and show that the determinant is equal to -det(B) (MUST use the cofactor expansion, no points will be given for other meth- ods.) Hint: Same, don't expand everything out, you will be drown in a sea of bij, you should look at the cofactor expansion...
1. Given matrices (A), [B][C], [D], and [E] compute the following. You must show all the steps in your solution to receive credit. (2 points each) -1 3 1] [-2 1 [-2 4 1 [A]*[B] [B]*[C] [D]*[A] [C*E] det[B] det[D] My of [D] M22 of [D] M21 of [D] Write the following system of equations in matrix form x-5y+32-6=0 3y +2x = -11 3x-7z+15= 0
Elementary Laplace Transtorms Y(S) = {f} -L e-stf(t)dt fc = C-'{F(s)} F(s) = {f} f(t) =-'{F(s)) F(s) = {f} -CS 1. 1 1 12. uct) le S> 0 S> 0 . s S 2. eat 1 13. ucOf(t-c) e-csF(s) S> a S-a n! 3. t",n e Z 14. ectf(t) F( sc) S> 0 sh+1 4. tP, p>-1 (p+1) S> 0 SP+1 15. f(ct) F). c>0 16. SFt - 1)g(t)dt F(s)G(*) 5. sin at S> 0 16. cos at 17. 8(t...
5. [2p] (a) In a two-dimensional linear space X we are given three bases e-(a, e f- (fi, f2), and g- (91,92). The change of basis matrix from the basis f to the basis e 3 and the change of basis matrix from the basis g to the basis f is ) 3 2) Finod the change of basis matrix from the basis g to the basis e 4 -5 15 12 12 -2 -8 2(B) 16 1)(E) 05 9...