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FINAL (Continued 7. (12% ) Solve, if possible, the following system of linear equations using Cramer's...
5. Consider the matrix A-1-6-7-3 Hint: The characteristic polynomial of A is p(λ ) =-(-2)0+ 1)2....
5. Consider the matrix A-1-6-7-3 Hint: The characteristic polynomial of A is p(λ ) =-(-2)0+ 1)2. (a) Find the eigenvalues of A and bases for the corresponding eigenspaces. (b) Determine the geometric and algebraic multiplicities of each eigenvalue and whether A is diagonalizable or not. If it is, give a diagonal matrix D and an invertible matrix S such that A-SDS-1. If it's not, say why not.
4. (10 pts) Using the Gauss-Jordan elimination process, solve the following systems of linear equations. How many solutions are there? Can we apply Cramer's rule? Explain why (Use the matrix...
4. (10 pts) Using the Gauss-Jordan elimination process, solve the following systems of linear equations. How many solutions are there? Can we apply Cramer's rule? Explain why (Use the matrix form of linear equations.)
4. (10 pts) Using the Gauss-Jordan elimination process, solve the following systems of linear equations. How many solutions are there? Can we apply Cramer's rule? Explain why (Use the matrix form of linear equations.)
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...
Solve the Following 3x3 system of linear equations using Cramer's Rule. Use the expansion by minors...
Solve the Following 3x3 system of linear equations using
Cramer's Rule. Use the expansion by
minors method to evaluate the determinants. Find the
solution ordered triple and check. Show Work:
3x-2y+z=12
x+3y-2z=-9
2x-4y-3z=-4
[EXPAND ALONG ROW 1] "|" is just me manually making rows to show
expansion steps
x= |_______| = |________|______|_____|______|_____|=
________=_____=
y= |_______| = |________|______|_____|______|_____|=
________=_____=
z= |_______| = |________|______|_____|______|_____|=
________=_____=
ordered triple: {(__,__)}
Include checks on x,y,z
sorry i tried uploading picture of problem but it...
(1 point) The linear transformation T: R4 R4 below is diagonalizable. T(x,y,z,w) = (x – -...
(1 point) The linear transformation T: R4 R4 below is diagonalizable. T(x,y,z,w) = (x – - (2x + y), -z, 2 – 3w Compute the following. (Click to open and close sections below). (A) Characteristic Polynomial Compute the characteristic polynomial (as a function of t). A(t) = (B) Roots and Multiplicities Find the roots of A(t) and their algebraic multiplicities. Root Multiplicity t= t= t= t= (Leave any unneeded answer spaces blank.) (C) Eigenvalues and Eigenspaces Find the eigenvalues and...
PREGUNTA 1 Simplest method to solve a system of linear lgebic equations O Graphical Method Cramer's...
PREGUNTA 1 Simplest method to solve a system of linear lgebic equations O Graphical Method Cramer's Rule Method The Elimination of Unkmowns Method None of Above PREGUNTA 2 The NAVIE-GAUSS Elimination Method has to phases: Backward elimination and Forward substitution o Falso PREGUNTA 3 One technique to improve the solution of a linear algebraic equation system is PIVOTING o Falso PREGUNTA 4 GAUSS-JORDAN is a method to solve a system of linear algebraic equations o Falso PREGUNTA 5 Solve the...
Solve the following linear system of equations.
please answer by giving Matlab code for this questionSolve the following linear system of equations. x₁+3 x₂-x₃+2 x₄+3 x₅=5x₁+2 x₂-x₃+4 x₄+9 x₅=-33 x₁-5 x₂+3 x₃+2 x₄-x₅=72 x₂+x₃+2 x₅=-3x₁-x₂+2 x₅=1Using -LU Factorization. -Cramer's rule.
please solve both as other did wrong plz 8. [0/5 Points] DETAILS PREVIOUS ANSWERS LARLINALG8 7.1.021....
please solve both as other did wrong
plz
8. [0/5 Points] DETAILS PREVIOUS ANSWERS LARLINALG8 7.1.021. Find the characteristic equation and the eigenvalues (and corresponding eigenvectors) of the matrix. 2 -2 0 3 -2 0 - 1 2 (a) the characteristic equation (2 – 2)(a – 4)(a − 1) X (b) the eigenvalues (Enter your answers from smallest to largest.) (11,12,13) = ( (1,2,4) the corresponding eigenvectors x1 = (1, - 2,9) X2 = (0,2, - 2) x X3 =...
Question 12 Consider the following system of linear equations (x-y +z = -2 x – 3y...
Question 12 Consider the following system of linear equations (x-y +z = -2 x – 3y - 2 = -1 3x +2y = -8 Which of the following method can be used to solve the above system? a) Gaussian climination b) Cramer's Rule c) Inverse Matrix d) All of the mentioned Your answer 0 del Bad Ps hp
Problem ONE UseGauss-Jordan method to solve the following system of linear equations 2x - 3y +...
Problem ONE UseGauss-Jordan method to solve the following system of linear equations 2x - 3y + z = 0 5x + 4y + z = 10 2x - 2y - z= -1 Problem TWO [1 0 1 01 0 1 1 0 Find the eigenvalues and the corresponding eigenvectors of the matrix 0 0 20 LO 0 0 2
5. Consider the matrix A-1-6-7-3 Hint: The characteristic polynomial of A is p(λ ) =-(-2)0+ 1)2. (a) Find the eigenvalues of A and bases for the corresponding eigenspaces. (b) Determine the geometric and algebraic multiplicities of each eigenvalue and whether A is diagonalizable or not. If it is, give a diagonal matrix D and an invertible matrix S such that A-SDS-1. If it's not, say why not.
4. (10 pts) Using the Gauss-Jordan elimination process, solve the following systems of linear equations. How many solutions are there? Can we apply Cramer's rule? Explain why (Use the matrix form of linear equations.)
4. (10 pts) Using the Gauss-Jordan elimination process, solve the following systems of linear equations. How many solutions are there? Can we apply Cramer's rule? Explain why (Use the matrix form of linear equations.)
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...
Solve the Following 3x3 system of linear equations using
Cramer's Rule. Use the expansion by
minors method to evaluate the determinants. Find the
solution ordered triple and check. Show Work:
3x-2y+z=12
x+3y-2z=-9
2x-4y-3z=-4
[EXPAND ALONG ROW 1] "|" is just me manually making rows to show
expansion steps
x= |_______| = |________|______|_____|______|_____|=
________=_____=
y= |_______| = |________|______|_____|______|_____|=
________=_____=
z= |_______| = |________|______|_____|______|_____|=
________=_____=
ordered triple: {(__,__)}
Include checks on x,y,z
sorry i tried uploading picture of problem but it...
(1 point) The linear transformation T: R4 R4 below is diagonalizable. T(x,y,z,w) = (x – - (2x + y), -z, 2 – 3w Compute the following. (Click to open and close sections below). (A) Characteristic Polynomial Compute the characteristic polynomial (as a function of t). A(t) = (B) Roots and Multiplicities Find the roots of A(t) and their algebraic multiplicities. Root Multiplicity t= t= t= t= (Leave any unneeded answer spaces blank.) (C) Eigenvalues and Eigenspaces Find the eigenvalues and...
PREGUNTA 1 Simplest method to solve a system of linear lgebic equations O Graphical Method Cramer's Rule Method The Elimination of Unkmowns Method None of Above PREGUNTA 2 The NAVIE-GAUSS Elimination Method has to phases: Backward elimination and Forward substitution o Falso PREGUNTA 3 One technique to improve the solution of a linear algebraic equation system is PIVOTING o Falso PREGUNTA 4 GAUSS-JORDAN is a method to solve a system of linear algebraic equations o Falso PREGUNTA 5 Solve the...
please solve both as other did wrong
plz
8. [0/5 Points] DETAILS PREVIOUS ANSWERS LARLINALG8 7.1.021. Find the characteristic equation and the eigenvalues (and corresponding eigenvectors) of the matrix. 2 -2 0 3 -2 0 - 1 2 (a) the characteristic equation (2 – 2)(a – 4)(a − 1) X (b) the eigenvalues (Enter your answers from smallest to largest.) (11,12,13) = ( (1,2,4) the corresponding eigenvectors x1 = (1, - 2,9) X2 = (0,2, - 2) x X3 =...
Question 12 Consider the following system of linear equations (x-y +z = -2 x – 3y - 2 = -1 3x +2y = -8 Which of the following method can be used to solve the above system? a) Gaussian climination b) Cramer's Rule c) Inverse Matrix d) All of the mentioned Your answer 0 del Bad Ps hp
Problem ONE UseGauss-Jordan method to solve the following system of linear equations 2x - 3y + z = 0 5x + 4y + z = 10 2x - 2y - z= -1 Problem TWO [1 0 1 01 0 1 1 0 Find the eigenvalues and the corresponding eigenvectors of the matrix 0 0 20 LO 0 0 2
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