Write an augumented matrix for the system of linear equations[[x-y+z=8],[y-12z=-15],[z=1]]

bobbie71G 2021-02-08 Answered

Write an augumented matrix for the system of linear equations
\(\displaystyle{\left[\begin{matrix}{x}-{y}+{z}={8}\\{y}-{12}{z}=-{15}\\{z}={1}\end{matrix}\right]}\)

Want to know more about Matrix transformations?

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

Fatema Sutton
Answered 2021-02-09 Author has 15775 answers

The given system of linear equations can be written as shown below:
\(x-y+z=8\)
\(0x+y-12z=-15\)
\(0x+0y+z=1\)
Thus the augmented matrix could be written as
\(\displaystyle{\left[\begin{matrix}{1}&-{1}&{1}&{|}&{8}\\{0}&{1}&-{12}&{|}&-{15}\\{0}&{0}&{1}&{|}&{1}\end{matrix}\right]}\)

Not exactly what you’re looking for?
Ask My Question
48
 

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Relevant Questions

asked 2021-02-12

Write the given matrix equation as a system of linear equations without matrices.
\(\displaystyle{\left[\begin{matrix}{2}&{0}&-{1}\\{0}&{3}&{0}\\{1}&{1}&{0}\end{matrix}\right]}{\left[\begin{matrix}{x}\\{y}\\{z}\end{matrix}\right]}={\left[\begin{matrix}{6}\\{9}\\{5}\end{matrix}\right]}\)

asked 2021-02-21

(7) If A and B are a square matrix of the same order. Prove that \((ABA^{−1})^3=AB^3A^{−1}\)

asked 2021-01-19

Solve the following pair of linear equations by the elimination method and the substitution method:
\(x + y = 5, 2x - 3y = 4\)

asked 2021-02-06

1:Find the determinant of the following mattrix \(\displaystyle{\left[\begin{matrix}\begin{matrix}{2}&-{1}&-{6}\end{matrix}\\\begin{matrix}-{3}&{0}&{5}\end{matrix}\\\begin{matrix}{4}&{3}&{0}\end{matrix}\end{matrix}\right]}\)

2: If told that matrix A is singular Matrix find the possible value(s) for x \(\displaystyle{A}={\left\lbrace\begin{matrix}{16}{x}&{4}{x}\\{x}&{9} \end{matrix}\right.}\)

asked 2021-03-07

Give the elementary matrix that converts
\(\begin{bmatrix} -2 & -2 & -1 \\ -3 & -1 & -3 \\ 1 & -4 & -3 \end{bmatrix}\)

to

\(\begin{bmatrix} -6 & -2 & -1 \\ -5 & -1 & -3 \\ -7 & -4 & -3 \end{bmatrix} \)

asked 2021-02-11

Let A be a \(6 \times 9\) matrix. If Nullity \(\displaystyle{\left({A}{T}{A}^{{T}}{A}{T}\right)}\) \(= 2\) then Nullity \((A) = 2\)

asked 2021-03-02

Let T be the linear transformation from R2 to R2 consisting of reflection in the y-axis. Let S be the linear transformation from R2 to R2 consisting of clockwise rotation of \(30^{\circ}\). (b) Find the standard matrix of \(T , [T ]\). If you are not sure what this is, see p. 216 and more generally section 3.6 of your text. Do that before you go looking for help!

...