Find the inverse of the matrix using row operations: 1 4 -1 1 A= -1 2...
[4 points (a) Find the inverse of the matrix A= -1 2 2 3 -6 -5 2 -3 -4 using row operations. -1 + + 2.63 (b) Use your answer in part (a) to solve the system + 3.02 6.62 502 2 and state what the answer 21 2.1 9 1 means about the intersection of the 3 planes.
4. Use elementary row operations (Gauss-Jordan method) to find the inverse of the matrix (if it exists). If the inverse does not exist, explain why. 1 0-1 A:0 1 2 0 -1 2us 0P 0 Determine whether v is in span(ui, u2, us). Write v as a linear combination of ui, u2, and us if it is in span(u1, u2, u3). If v is not in span(ui, u2, u3), state why. span(ui,u2,us). If v is not in span(ui,u^, us), state...
(b) Determine the inverse of the following matrix using elementary row operations 0 1 [ 3 C = -1 2 5 O-11VIMU (50 marks) Given the vector field F = x2i +2xj + z?k and the closed curve is a square with vertices at (0,0,3), (1, 0, 3), (1, 1, 3), and (0, 1,3), verify Stoke's Theorem (a) 5. (50 marks) Use the Gauss-Seidel iterative technique to find approximate solutions to (b) 6 +2x3 10x1 +3x4 11x2 X3 11 x4...
6. Find the determinant of the following matrix using elementary row operations. (Turn the elements above the main diagonal into zeros to have the least amount of calculations.) (10 points) -1 -9 0 -2 -4 -2 -2 4 3 -1 -1 4 3 2 1
Please answer all four questions and show work. Find the inverse of each matrix using the reduced row echelon technique. [iii] 20. 2 1 1 [1 1 2 Show that each matrix has no inverse. [-1 2 3] 30. 5 2 0 L 2 -4 -6 For Problems 45-50, use the inverse found in Problem 19. [i 1 -17 19. 3 -1 0 1 2 -3 4 (x + y - z= 6 46.3x – y = 8 ( 2x...
「 : / (2) Let A- be an arbitrary 2 x 2 matrix. (a) If A is invertible, perform row operations to determine a row echelon form of A. (Hint: You may need to consider different cases, e.g., when a-0 and when a f 0.) (b) Under certain conditions, we can row reduce [A | 2 to [| B] where d -b ad- be-a Use the row echelon form of A from part (a) to find conditions under which the...
Find the inverse in row operations [2111111−11] Find the inverse: [1212−1211−2] Find the inverse: [6233111034] Find the solution to Ax= b where A = [2111111−11]and b = [2−53] For each of the three matrices above, find L and U such that A=LU Find the solution to Ax=b where: A = [1212−1211−2]and b = 211 2 2 1 2 1 121 314 630 211 We were unable to transcribe this imageWe were unable to transcribe this image14-5
Find the inverse, if it exists, for the given matrix. left bracket Start 2 By 3 Matrix 1st Row 1st Column 5 2nd Column 3rd Column 5 2nd Row 1st Column 4 2nd Column 3rd Column 5 EndMatrix right bracket 5 5 4 5 Find the inverse. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A.The inverse is nothing. (Type a matrix, using an integer or simplified fraction for each matrix...
3. Find the inverse of the following matrix: (5 pts) B=11 2-3 hy row rednicing the 3x 6 matrices pl 3, where 13 denotes the 3 3 identity nu trix
4. (a) Which matrix corresponds to the row operation that replaces with ? (b) Find the inverse of . Justify your answer in terms of row operations.