Solve the following system of equations by using the inverse of the coefficient matrix A. (AX = B) x + 5y= - 10, -2x+7y=-31

Noelanijd 2022-07-24 Answered
Solve the following system of equations by using the inverse of the coefficient matrix A. (AX = B) x + 5y= - 10, -2x+7y=-31
You can still ask an expert for help

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

Answers (2)

umshikepl
Answered 2022-07-25 Author has 11 answers
A 1 = 1 | A | a d j A
= 1 17 [ 7 5 2 1 ]
= [ 7 17 5 17 2 17 1 17 ]
AX=B
X = A 1 B
( x y ) = ( 85 17 51 17 )
= ( 5 3 )
Did you like this example?
Subscribe for all access
on2t1inf8b
Answered 2022-07-26 Author has 4 answers
A X = B X = A 1 B A = , B = ( 10 31 ) and X=
A 1 = ( 7 5 2 1 ) 17
if A = ( a b c d ) t h e n   A 1 = ( d b c a ) | a b c d |
( 1 5 2 7 ) ( x y ) = ( 10 31 ) ⇒= ( 7 17 5 17 2 17 1 17 ) ( 10 31 )
( 70 17 + 155 17 20 17 31 17 )
( 85 17 51 17 ) = ( 5 3 )
Did you like this example?
Subscribe for all access

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 2022-05-12
Indetermined system
i = 1 N x i = i = 1 N 1 x i = 3
for N > 2. The main aspect that confuses me is the general N and I'm not sure how to proceed.
asked 2022-05-23
Is the following equation regarded as a linear equation?
0 x 1 + 0 x 2 + 0 x 3 = 5
The original question is as below:
Solve the linear system given by the following augmented matrix:
( 2 2 3 1 2 5 3 0 0 0 0 5 )
Note the words linear system in the original question. So, I was asking myself whether 0 x 1 + 0 x 2 + 0 x 3 = 5 is a linear equation. Can we call all of the equations given by the matrix collectively as a linear system?
asked 2022-05-17
This system of equations
x y + y z + z x = 3 x 4 + y 4 + z 4 = 3
How to solve this system of equations?
asked 2022-09-10
How to solve the system of equations y = 5 x 2 2 x and y = 10 x + 9?
asked 2022-05-27
system of linear equations:
{ ( 1 + b ) x + y + z = 1 x + ( 1 + b ) y + z = b x + y + ( 1 + b ) z = b 2
And I would like to know if it has zero, one, or more solutions depanding on b ( b R).
How do I do that?
asked 2021-02-11

103=36
2+5=4
solve using substitution

asked 2022-06-19
Find the solution set of triplets ( x , y , z ) that fulfil this system using Gauss-Jordan:
{ x + 2 z = 0 3 x 6 z = 0 2 x 4 z = 0
First of all, I don't see any y variable there. I suppose it doesn't matter and I proceed normally:
[ 1 2 0 3 6 0 2 4 0 ]
f 1
[ 1 2 0 3 6 0 2 4 0 ]
3 f 1 + f 2
[ 1 2 0 0 0 0 2 4 0 ]
2 f 1 + f 3
[ 1 2 0 0 0 0 0 0 0 ]
So, this is the staggered reduced form.
This is an homogeneous system (because of the null column), thus one solution is ( 0 , 0 , 0 ).
Other than that, I have to check out the range of the system. The range is 1, which is less than the number of columns... what is the number of columns?

New questions