1 Find the value of h for which the following linear system is consistent and find...
1 Find the value of h for which the following linear system is
consistent and find the general solution in vector form of the
resulting consistent linear system.
x1+ x2+x3 +2x4 = 3
2x1+2x2+3x3+3x4 = h
5x1+5x2+6x3+9x4 = 10
numbers next to x’s are base numbers
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1 Find the value of h for which the following linear system is
consistent and find...
get the value of h and the general splution in vector form 21+ 2+x3 +2x4 =...
get the value of h and the general splution in vector
form
21+ 2+x3 +2x4 = 3 2x1+2x2+3x3+3x4 = h 5x1+5x2+6x3+9x4 = 10
Use the Gaussian elimination method to solve each of the following systems of linear equations. In...
Use the Gaussian elimination method to solve each of the following systems of linear equations. In each case, indicate whether the system is consistent or inconsistent. Give the complete solution set, and if the solution set is infinite, specify three particular solutions. 1-5x1 – 2x2 + 2x3 = 14 *(a) 3x1 + x2 – x3 = -8 2x1 + 2x2 – x3 = -3 3x1 – 3x2 – 2x3 = (b) -6x1 + 4x2 + 3x3 = -38 1-2x1 +...
Determine whether the system is consistent 1) x1 + x2 + x3 = 7 X1 -...
Determine whether the system is consistent 1) x1 + x2 + x3 = 7 X1 - X2 + 2x3 = 7 5x1 + x2 + x3 = 11 A) No B) Yes Determine whether the matrix is in echelon form, reduced echelon form, or neither. [ 1 2 5 -7] 2) 0 1 -4 9 100 1 2 A) Reduced echelon form B) Echelon form C) Neither [1 0 -3 -51 300 1-3 4 0 0 0 0 LOO 0...
1 Find the value of h for which the following linear system is consistent and find...
1 Find the value of h for which the following linear system is consistent and find the general solution in vector form of the resulting consistent linear system. D+ 12+13 +214 = 3 2x: +2x4+373 +374-h 501 +52 +63 +94 =10
Consider the linear system x1 + x2 – 2x3 + 3x4 = 0 2x1 + x2...
Consider the linear system x1 + x2 – 2x3 + 3x4 = 0 2x1 + x2 - 6x3 + 4x4 -1 3x1 + 2x2 + px3 + 7x4 -1 X1 – X2 – 6x3 24 = t. Find the conditions (on t and p) that the system is consistent, and inconsistent. If the system is consistent, find all the possible solutions (including stating the dimension of the solution space(s) and describe the solution space(s) in parametric form).
4 Express the given system of linear equations as a vector equation. -2x1 + 5x2 -...
4 Express the given system of linear equations as a vector equation. -2x1 + 5x2 - 10x3 = X1 - 2x2 + 3x3 = -1 7X1 - 17x2 + 34x3 = -16 X1 + X2 + X3
Write the system of linear equations in the form Ax = b and solve this matrix...
Write the system of linear equations in the form Ax = b and solve this matrix equation for x. x1 – 2x2 + 3x3 = 24 -X1 + 3x2 - x3 = -11 2x1 – 5x2 + 5x3 = 42 X1 x2 = X3 ] 24 -11 42 [ x
**PLEASE USE MATLAB 2. For each system of linear algebraic equations, determine if the system is underdetermined, has an exact solution, or is overdetermined. If the system is underdetermined, find th...
**PLEASE USE MATLAB
2. For each system of linear algebraic equations, determine if the system is underdetermined, has an exact solution, or is overdetermined. If the system is underdetermined, find the general solution and then find a particular solution and check your answer. If the system is exact, find the unique solution and check your answer. If the system is overdetermined, find a least squares solution. 3x, + 2x,-4x, + x,-2 -x, +5x2 + 2x, + 3x4 = 4 4x,...
Consider the following linear transformation T: RS → R3 where T(X1, X2, X3, Xa, Xs) =...
Consider the following linear transformation T: RS → R3 where T(X1, X2, X3, Xa, Xs) = (x1-x3+Xa, 2x1+x2-x3+2x4, -2X2+3x3-3x4+xs) (a) Determine the standard matrix representation A of T(x). (b) Find a basis for the kernel of T(x). (c) Find a basis for the range of T(x). (d) Is T(x) one-to-one? Is T(x) onto? Explain. (e) Is T(x) invertible? Explain
Consider the following linear transformation T: RS → R3 where T(X1, X2, X3, X4, X5) =...
Consider the following linear transformation T: RS → R3 where T(X1, X2, X3, X4, X5) = (x1-X3+X4, 2X1+X2-X3+2x4, -2X1+3x3-3x4+x5) (a) Determine the standard matrix representation A of T(x).
get the value of h and the general splution in vector
form
21+ 2+x3 +2x4 = 3 2x1+2x2+3x3+3x4 = h 5x1+5x2+6x3+9x4 = 10
Use the Gaussian elimination method to solve each of the following systems of linear equations. In each case, indicate whether the system is consistent or inconsistent. Give the complete solution set, and if the solution set is infinite, specify three particular solutions. 1-5x1 – 2x2 + 2x3 = 14 *(a) 3x1 + x2 – x3 = -8 2x1 + 2x2 – x3 = -3 3x1 – 3x2 – 2x3 = (b) -6x1 + 4x2 + 3x3 = -38 1-2x1 +...
Determine whether the system is consistent 1) x1 + x2 + x3 = 7 X1 - X2 + 2x3 = 7 5x1 + x2 + x3 = 11 A) No B) Yes Determine whether the matrix is in echelon form, reduced echelon form, or neither. [ 1 2 5 -7] 2) 0 1 -4 9 100 1 2 A) Reduced echelon form B) Echelon form C) Neither [1 0 -3 -51 300 1-3 4 0 0 0 0 LOO 0...
1 Find the value of h for which the following linear system is consistent and find the general solution in vector form of the resulting consistent linear system. D+ 12+13 +214 = 3 2x: +2x4+373 +374-h 501 +52 +63 +94 =10
Consider the linear system x1 + x2 – 2x3 + 3x4 = 0 2x1 + x2 - 6x3 + 4x4 -1 3x1 + 2x2 + px3 + 7x4 -1 X1 – X2 – 6x3 24 = t. Find the conditions (on t and p) that the system is consistent, and inconsistent. If the system is consistent, find all the possible solutions (including stating the dimension of the solution space(s) and describe the solution space(s) in parametric form).
4 Express the given system of linear equations as a vector equation. -2x1 + 5x2 - 10x3 = X1 - 2x2 + 3x3 = -1 7X1 - 17x2 + 34x3 = -16 X1 + X2 + X3
Write the system of linear equations in the form Ax = b and solve this matrix equation for x. x1 – 2x2 + 3x3 = 24 -X1 + 3x2 - x3 = -11 2x1 – 5x2 + 5x3 = 42 X1 x2 = X3 ] 24 -11 42 [ x
**PLEASE USE MATLAB
2. For each system of linear algebraic equations, determine if the system is underdetermined, has an exact solution, or is overdetermined. If the system is underdetermined, find the general solution and then find a particular solution and check your answer. If the system is exact, find the unique solution and check your answer. If the system is overdetermined, find a least squares solution. 3x, + 2x,-4x, + x,-2 -x, +5x2 + 2x, + 3x4 = 4 4x,...
Consider the following linear transformation T: RS → R3 where T(X1, X2, X3, Xa, Xs) = (x1-x3+Xa, 2x1+x2-x3+2x4, -2X2+3x3-3x4+xs) (a) Determine the standard matrix representation A of T(x). (b) Find a basis for the kernel of T(x). (c) Find a basis for the range of T(x). (d) Is T(x) one-to-one? Is T(x) onto? Explain. (e) Is T(x) invertible? Explain
Consider the following linear transformation T: RS → R3 where T(X1, X2, X3, X4, X5) = (x1-X3+X4, 2X1+X2-X3+2x4, -2X1+3x3-3x4+x5) (a) Determine the standard matrix representation A of T(x).
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