Homework Answers
Use the following inverse matrix A-1 and vector of constants B to solve the system of...
Use the following inverse matrix A-1 and vector of constants B to solve the system of equations AX = B. 1 2 0 -1 0 A-1 = 4 -1 2 , B = 4 -6 -4 0 -2
5 1 Solve the following system of equations by using the inverse of the coefficient matrix....
5 1 Solve the following system of equations by using the inverse of the coefficient matrix. The inverse of the coefficient matrix is shown. 0 4 4 4 11 1 Niw w 2 2 1 А x - 2y + 3z = -1 3 13 1 -2 y - Z + W = -5 4 4 4 - 3x + 3y - 22 + 5 w = -2 3 5 1 - 1 2y - 32 + W = 3...
4. Solve the following system of linear equations using the inverse matrix method. 1 y =...
4. Solve the following system of linear equations using the inverse matrix method. 1 y = 1 2 , 3 2 -r- 1 5 4 a) x+y +z= 6 x-y-3z=-8 x+y- 2z=-6 b) Solve the following system of linear equations using Cramer's Rule. 5. 2 1 -X- 3 2 1 3 X+-y-1 5 4 y = 1 a) x+y+z= 6 x-y-3z=-8 x+y- 2z = -6 b)
4. Solve the following system of linear equations using the inverse matrix method. 1...
U PETEKU UEU 1. Let B = Find x when matrix B has no inverse. (4)...
U PETEKU UEU 1. Let B = Find x when matrix B has no inverse. (4) -4 2 - X J 2. Find the value (s) of a for which the system of equations below has infinitely many solutions. (a - 3x + y = 0 x + (a-3)y=0 3. Let A be a symmetric matrix. Show that A2 is also symmetric. 4. Find matrix A for which A-* = [ 2 ar flimaaranations and use Cramer's rule to find
(ii) (1 pts) Use Part (i) and the method of matrix inverse to solve the following...
(ii) (1 pts) Use Part (i) and the method of matrix inverse to solve the following system of equations. Other methods receive NO credit. 1 -Y + 2 = 1 2.1 - y + 32 = 1 - +y = 2
2. Consider the matrix [23] A = [ 4 6+ (i) Calculate the inverse matrix exactly....
2. Consider the matrix [23] A = [ 4 6+ (i) Calculate the inverse matrix exactly. (ii) Calculate the condition number on = ||A ||||A||. 2 (iii) Use the inverse to solve A,, x = b exactly, for b = || to solve 1, x = b exactly for = [ ] and v= [ * -s). Comment on the and b 4- 1. Comment on the 1 results.
please help!!! Use an inverse matrix to solve each system of linear equations. (a) x +...
please help!!!
Use an inverse matrix to solve each system of linear equations. (a) x + 2y = -1 x-2y = 3 (x, y)=( (b) x + 2y = 7 x - 2y = -1 (x, y) = Use an inverse matrix to solve each system of linear equations. (a) X1 + 2x2 + x3 = 0 X1 + 2x2 - *3 = 2 X1 - 2x2 + x3 = -4 (X1, X2, X3) - (b) X1 + 2x2 +...
1. (8 pts.) Suppose T is a linear transformation and -(1)-(C). --- () - 0 Solve...
1. (8 pts.) Suppose T is a linear transformation and -(1)-(C). --- () - 0 Solve the matrix vector equations below. Explain 2. (8 pts.) Below are a matrix A, its inverse, and a vector b. 1983--013... (1) A = A-1 = 1-4 3 2 -5 7 2 0 1) , and b = x) Determine the value of x. Then solve the matrix vector equation Av = b. [-u-5 il 14 s1 3 70 | 71-3-70 12 x 12...
[4 points (a) Find the inverse of the matrix A= -1 2 2 3 -6 -5...
[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.
6) Find the inverse of each matrix below or explain why no such inverse exists. (10...
6) Find the inverse of each matrix below or explain why no such inverse exists. (10 pts.) 1-2 1 13 2 1 -2 -6] 5 10] [1 0 li -1 -2 1 10 3 -3 -1] 1 1]
Use the following inverse matrix A-1 and vector of constants B to solve the system of equations AX = B. 1 2 0 -1 0 A-1 = 4 -1 2 , B = 4 -6 -4 0 -2
5 1 Solve the following system of equations by using the inverse of the coefficient matrix. The inverse of the coefficient matrix is shown. 0 4 4 4 11 1 Niw w 2 2 1 А x - 2y + 3z = -1 3 13 1 -2 y - Z + W = -5 4 4 4 - 3x + 3y - 22 + 5 w = -2 3 5 1 - 1 2y - 32 + W = 3...
4. Solve the following system of linear equations using the inverse matrix method. 1 y = 1 2 , 3 2 -r- 1 5 4 a) x+y +z= 6 x-y-3z=-8 x+y- 2z=-6 b) Solve the following system of linear equations using Cramer's Rule. 5. 2 1 -X- 3 2 1 3 X+-y-1 5 4 y = 1 a) x+y+z= 6 x-y-3z=-8 x+y- 2z = -6 b)
4. Solve the following system of linear equations using the inverse matrix method. 1...
U PETEKU UEU 1. Let B = Find x when matrix B has no inverse. (4) -4 2 - X J 2. Find the value (s) of a for which the system of equations below has infinitely many solutions. (a - 3x + y = 0 x + (a-3)y=0 3. Let A be a symmetric matrix. Show that A2 is also symmetric. 4. Find matrix A for which A-* = [ 2 ar flimaaranations and use Cramer's rule to find
(ii) (1 pts) Use Part (i) and the method of matrix inverse to solve the following system of equations. Other methods receive NO credit. 1 -Y + 2 = 1 2.1 - y + 32 = 1 - +y = 2
2. Consider the matrix [23] A = [ 4 6+ (i) Calculate the inverse matrix exactly. (ii) Calculate the condition number on = ||A ||||A||. 2 (iii) Use the inverse to solve A,, x = b exactly, for b = || to solve 1, x = b exactly for = [ ] and v= [ * -s). Comment on the and b 4- 1. Comment on the 1 results.
please help!!!
Use an inverse matrix to solve each system of linear equations. (a) x + 2y = -1 x-2y = 3 (x, y)=( (b) x + 2y = 7 x - 2y = -1 (x, y) = Use an inverse matrix to solve each system of linear equations. (a) X1 + 2x2 + x3 = 0 X1 + 2x2 - *3 = 2 X1 - 2x2 + x3 = -4 (X1, X2, X3) - (b) X1 + 2x2 +...
1. (8 pts.) Suppose T is a linear transformation and -(1)-(C). --- () - 0 Solve the matrix vector equations below. Explain 2. (8 pts.) Below are a matrix A, its inverse, and a vector b. 1983--013... (1) A = A-1 = 1-4 3 2 -5 7 2 0 1) , and b = x) Determine the value of x. Then solve the matrix vector equation Av = b. [-u-5 il 14 s1 3 70 | 71-3-70 12 x 12...
[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.
6) Find the inverse of each matrix below or explain why no such inverse exists. (10 pts.) 1-2 1 13 2 1 -2 -6] 5 10] [1 0 li -1 -2 1 10 3 -3 -1] 1 1]
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