
find A^-1 using the matrix of coefficient and determinant method


find A^-1 using the matrix of coefficient and determinant method 5, x+y+ z= 5 x+y-4z =...
5. For the system, 4x + y + 2z = 1 2x + 3y + 4z = -5 x – y +3z = 3 Find the rank of the coefficient matrix by calculating the determinant. Use Cramer's theorem to find the solution of this system. (10 points) 6. Find the inverse of the following matrix using Gauss-Jordan method. Verify your result by computing the inverse using the method of determinants. (10 points) 1 2 4 2 4 2 1] 1...
Cramer's Rule: 5. Use Cramer's Rule to find x,y and z for the following system of equations. X 2 7x + 2y - z= -1 ។ 6x + 5y + z = 16 -5x - 4y + 3z = -5 2 : 2 a. Write the coefficient matrix first for the system above. Call it matrix D. 7 2 5 L-8-4 3 1 14 ] = 0 b. Find the determinant of the coefficient matrix (det(D)).
1. Consider the linear map f R3R4 defined by f(x, y,z) (x+y+ z, 2x +4z,3x + 2y +4z, 5y - 5z) a.) Find the matrix representing f (5pts) b.) Determine (i) ker(f) (2pts) (ii) Range(f) (2pts) and (i) dim(f) (lpt)
Dºx-4Dy = 667 1. Consider . Use the determinant of the coefficient matrix (D+2)x+(D+2) y = 81 to solve for x. (Find both x, and x,. Do not solve for y.) (15 pts).
5. (10 points) Find the determinant of the given matrix A by using cofactor expansion. Then find the determinant of A. 1 2 A= | -2 3 3 -5 5 1 7 0 /
1 2 2 1 -X Find the determinant of the matrix as a formula in terms of x and y. Remember to use the correct syntax for a formula 0 0 1 -3 -x X Question 4: (2 points) a b c fis 3, find the determinant of these matrices: If the determinant of the matrix M = d e (gh k) b a C (a) 7 d 7e 7f h k -E. b-2 e c - 2 f a...
Consider the homogeneous linear system 1 +3y + 4z=0,21 +22=0,-y-z=0] Give the coefficient matrix for this system: b sin (a a ar 00 22 Give the augmented matrix for this system: ab sin(a) 00 a Reduce the augmented matrix to reduced row-echelon form: a ab sin (a) f 8 a 12 ОТ Give a basis for the set of all solutions of the system. Syntax: Enter your answer as a set of vectors in one of the following forms (depending...
Suppose that f(x, y, 2) = 4x + 4y + 4z at which 0 < 2,4,2 < 5. 1. Absolute minimum of f(x, y, 2) is 2. absolute maximum of f(x, y, z) is Submit Question
Find the determinant of the following matrix as a formula in terms of x and y. Remember to use the correct syntax for a formula: (101) y 01 2 x 1) xy-x
Solve using inverse matrix -x +y + 32 1 2x + y – z=1 4x + 4y + z = 1 O (1,1,-1) O (2,-1,3) (2,0,1) (12,-14,9)