Write the augmented matrix of the system and use it to solve the system. z. x...

Write the augmented matrix of the system and use it to solve the system. z.

x − 2 y − z = − 6

x − y − 2 z = − 4

− x − y + 2 z = − 4

Expert Solution

Please give it a thumbs up if you like the answer. Comment if any problem in solution. :)

milcah answered 2 years ago

Write the augmented matrix for the following system of linear equations. Solve the equation (x,y,z) by...

Write the augmented matrix for the following system of linear equations. Solve the equation (x,y,z) by row reduction. x+3y-2z=5 3x+5y+6z=7 2x+4y+3z=8

The following matrix is the augmented matrix for a system of linear equations. A = 1...

The following matrix is the augmented matrix for a system of linear equations. A = 1 1 0 1 1 0 0 1 3 3 0 0 0 1 1 2 2 0 5 5 (a) Write down the linear system of equations whose augmented matrix is A. (b) Find the reduced echelon form of A. (c) In the reduced echelon form of A, mark the pivot positions. (d) Does the system have no solutions, exactly one solution or infinitely...

Write down an augmented matrix in reduced form corresponding to a system with 3 equations and...

Write down an augmented matrix in reduced form corresponding to a system with 3 equations and 5 variables which has infinitely many solutions and 2 free variables. Write down an augmented matrix in reduced form corresponding to a system with 4 equations and 5 variables which has no solutions and 2 free variables.

Set up the augmented matrix that describes the situation, and solve for the desired solution. A...

Set up the augmented matrix that describes the situation, and solve for the desired solution. A bag of mixed nuts contains cashews, pistachios, and almonds. Originally there were 850 nuts in the bag. 30% of the almonds, 20% of the cashews, and 10% of the pistachios were eaten, and now there are 715 nuts left in the bag. Originally, there were 50 more cashews than almonds. Figure out how many of each type of nut was in the bag, to...

show all workings please. TIA 1) a) Write down the augmented matrix for the following system...

show all workings please. TIA 1) a) Write down the augmented matrix for the following system of linear equations and solve the system. 3x1 − 7x2 + 4x3 = 10 −x1 − 2x2 + 3x3 = 1 x1 + x2 + 2x3 = 8 b) Jason invested $30 000, splitting it between the three companies Acorn Industries, Balderdash Bank and Chester Challenge. The interest rates were respectively 5%, 6% and 7% per annum. The total annual income (i.e. the sum...

Solve the following system : z” + y ′ = cos x, y” − z =...

Solve the following system : z” + y ′ = cos x, y” − z = sin x, z(0) = −1, z′ (0) = −1, y(0) = 1, y′ (0) = 0.

Give an example of an augmented matrix in echelon form corresponding to a system of 2...

Give an example of an augmented matrix in echelon form corresponding to a system of 2 equations in three unknowns satisfying each of the following conditions or explain why it is not possible. (a) No solutions (b) One unique solution (c) Infinitely many solutions.

1. For both systems below form the augmented matrix, reduce the augmented matrix to echelon form...

1. For both systems below form the augmented matrix, reduce the augmented matrix to echelon form (zeros below the diagonal), and give the solution to the system. (a) x – 2y + z = 0; 2x + 3y – z = 16; 3x – y – 3z = 23. (b) 2x – 3y + z = -3; x + 2y – 5z = -29; 3x – y + 2z = -2

(3) Write elimination matrix representing each step in elimination process. ( not augmented matrix) (a) 2x...

(3) Write elimination matrix representing each step in elimination process. ( not augmented matrix) (a) 2x + y − z = 3 x + 3y − z = 6 3x − y + 7z = 8 b) x+y−z−t=0 x + y + 2z − t = 3 2x + 2y + z + 3t = 13 x + 2y + 5z − 7t = 3

Solve for x,y,z if there if a solution to the given system of linear equations: x...

Solve for x,y,z if there if a solution to the given system of linear equations: x - 3y - 2z = -3 3x + 2y - z = 12 -x - y + 4z = 3

Question