6. (7 points) Consider the following matrix, (a) Compute M-1 using row reduction.
(6 points) Evaluate the following system using the augmented matrix method. When performing row reduction, be sure to indicate your row operations. x 2x -x + 2y + 5y + 4y – + – 2= z = 2z = -3 1 3 (12 points) Evaluate the following system using Gauss-Jordan elimination. When per- forming row reduction, be sure to indicate your row operations. 2x x -x (a) – + + y + z = y + 2z = 3y +...
B: Calculate the determinant of the following matrix by using row reduction to produce an upper triangular form: 2 marks 10 4 21 B=0 -4 3 -5 -1 -12
Compute the determinant of the following matrix using a cofactor expansion across the first row. 6 2 - 2 A= 50 35 4 0 N Compute the determinant using a cofactor expansion across the first row. Select the correct choice below and fill in the answer box to complete your choice. (Simplify your answer.) OA. Using this expansion, the determinant is (6)(-30) - (2)(2)+(-2)(25)= OB. Using this expansion, the determinant is (6)(-30)+(5)(2)+(3)(25) = OC. Using this expansion, the determinant is...
Question 3 Use row-reduction to put the following matrix to reduced row echelon form. 5 1 1 7 4 2 1 2 0 0 3 0 Show each step.
Use row-reduction to put the following matrix to reduced row echelon form. 1 5 4 2 1 2 0 0 3 0 Show each step.
(5 points) The following augmented matrix is in reduced row echelon form. Decode from the matrix the solution of the corresponding system of linear equations (using the variables X1, X2, and x3) or state that the system is inconsistent. (if a free variable is needed use the parameter t.) 1 0 3121 0 1 53 Lo 0 olo) con (10 points) Use row operations to compute the inverse of the matrix A = [ 53 -2] and use it to...
Q3 Row operations 3 Points For this matrix, which of the following row operations would you need to take to make entry 021 = - 0? A - = 1 3 - 7 9 6 1-5 O R2 = - R O R2 = -3R1 + R2 O R2 = 3R1 + R2
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...
Q3 Row operations 3 Points For this matrix, which of the following row operations would you need to take to make entry a21 = 0? 1 9 A = 7 6 ܘ ܝ 3 5 O R2 = R2 OR2 = 3R1 + R2 R2 3R1 + R2
Question 3 [10 points] Consider the following matrix A and its reduced row-echelon form: A = [-3 3 6 12 0 151 | 1 -1 -2 -4 0 -5 -6 3 9 15 12 18 rret(A) |-1 -1 0 -2 8 -3 [1 0 -1 -1 -4 -1] 01 1 3 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 Find the dimensions of row(A), null(A), and col(A), and give a basis for each of...