Write the given matrix equation as a system of linear equations without matrices.[(2,0,-1),(0,3,0),(1,1,0)][(x),(y),(z)]=[(6),(9),(5)]

BolkowN 2021-02-12 Answered

Write the given matrix equation as a system of linear equations without matrices.
[201030110][xyz]=[695]

You can still ask an expert for help

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

SabadisO
Answered 2021-02-13 Author has 108 answers

Here, [201030110][xyz]=[695]
the dimension of
[201030110] is 33
$ dimension of [xyz] is 31
so, the column of [201030110] matrix is equal to row [xyz]
Thus multiplication is possible
by the definition of matrix equality, we have system of linear equations
2xz=0
3y=0
x+z=0

We have step-by-step solutions for your answer!

Expert Community at Your Service

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

You might be interested in

asked 2021-09-18

Find an explicit description of Nul A by listing vectors that span the null space.
A=[154310121000000]

asked 2021-09-13

Assume that A is row equivalent to B. Find bases for Nul A and Col A.
A=[12511324515212045365192]
B=[12045005780000900000]

asked 2021-06-13
For the matrix A below, find a nonzero vector in Nul A and a nonzero vector in Col A.
A=[2359891121431727]
Find a nonzero vector in Nul A.
A=[3201]
asked 2022-07-02
An Eigenvector is nothing more than a vector that points to some place. This pointing vector will then be invariant under linear transformations.
Now my questions:
- Ok so this vector is invariant. So what? (in my case for attitude determination algorithm I even less understand what this could give me as useful information)
- how does a simple 4 × 4 matrix actually represent a transformation?
asked 2021-12-05
Construct a matrix whose column space contains (1, 1, 5) and (0, 3.1) and whose nullspace contains (1, 1, 2).
asked 2022-05-27
How to do this question in regards of matrices and transformation?
asked 2022-07-06
Question that asks me to describe a vector x that satisfies:
T ( x ) = [ 8 9 2 ]
Gven matrix:
A = [ 1 3 1 2 1 5 0 2 2 ]
also aware that T(x) = Ax. I would like to know the general process for finding what x is when given the output vector and a matrix to be multiplied by the unknown input vector x.
[ 1 0 2 0 0 1 1 0 0 0 0 1 ]
I have tried putting the augmented matrix in reduced row echelon form above, but I am not sure where to go from there.

New questions