Solve the matrix equation Ax = b where -1 21 A =-3 -2 2 b = -6 3 -1 -4 4 How to enter solutions of a matrix equation Ax = b: Enter the solution vector x = [c1, ¤2, . . . , Xn] as follows. • If a coodinate ¤, is a number, just enter the number. • If the value of a coordinate x; is a formula involving free variables, enter the formula. For example, if you obtain that æ = 1– 2x2 + 3æ3 where x2 and x3 are free, then as the value of x1 you should enter 1 - 2*x_2 + 3*x_3 .Use the underscore * to indicate multiplication. to indicate subscripts of variables, and • If a coordinate x; is a free variable, enter the variable name as its value. For example, if x2 is a free variable, then you should enter x_2 as the value of x2. • If the equation has no solutions enter None as your answer. Example. If the solution of an equation Ax = b is given by a vector x = [#1, ¤2, x3] where a = 1, x2 = 2 – 5x3 and æ3 is a free variable, when as your answer you should enter [1, 2 - 5*x_3, x_3] . Enter the vector x :
Solve the matrix equation Ax = b where -1 21 A =-3 -2 2 b = -6 3 -1 -4 4 How to enter solutions of a matrix equation Ax = b: Enter the solution vector x = [c1, ¤2, . . . , Xn] as follows. • If a coodinate ¤, is a number, just enter the number. • If the value of a coordinate x; is a formula involving free variables, enter the formula. For example, if you obtain that æ = 1– 2x2 + 3æ3 where x2 and x3 are free, then as the value of x1 you should enter 1 - 2*x_2 + 3*x_3 .Use the underscore * to indicate multiplication. to indicate subscripts of variables, and • If a coordinate x; is a free variable, enter the variable name as its value. For example, if x2 is a free variable, then you should enter x_2 as the value of x2. • If the equation has no solutions enter None as your answer. Example. If the solution of an equation Ax = b is given by a vector x = [#1, ¤2, x3] where a = 1, x2 = 2 – 5x3 and æ3 is a free variable, when as your answer you should enter [1, 2 - 5*x_3, x_3] . Enter the vector x :
Chapter7: Matrices And Determinants
Section: Chapter Questions
Problem 15T: One hundred liters of a 50% solution is obtained by mixing a 60% solution with a 20% solution. Use a...
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Question
![Solve the matrix equation Ax = b where
-1
1
2
-2
A =
-3
-2
2
b =
-6
3
-1
-4
How to enter solutions of a matrix equation Ax = b:
Enter the solution vector x = [x, T2, ..., Tn] as follows.
• If a coodinate c; is a number, just enter the number.
• If the value of a coordinate c; is a formula involving free variables, enter the formula. For example, if you obtain that æ1 = 1– 2x2 + 3x3 where x2
and r3 are free, then as the value of x you should enter 1 - 2*x 2 + 3*x 3.Use the underscore
* to indicate multiplication.
to indicate subscripts of variables, and
• If a coordinate x; is a free variable, enter the variable name as its value. For example, if x2 is a free variable, then you should enter x_2 as the
value of x2.
• If the equation has no solutions enter None as your answer.
Example. If the solution of an equation Ax = bis given by a vector x = #1, 12 , *3] where x = 1, x2 = 2 – 5x3 and x3 is a free variable, when as
your answer you should enter [1, 2 - 5*x_3, x_3] .
Enter the vector x:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe9d15e77-8c44-4e48-af9a-bae33a9e346c%2F7ba19dd6-da78-47be-a352-15d5b0184d33%2F52trg7q_processed.png&w=3840&q=75)
Transcribed Image Text:Solve the matrix equation Ax = b where
-1
1
2
-2
A =
-3
-2
2
b =
-6
3
-1
-4
How to enter solutions of a matrix equation Ax = b:
Enter the solution vector x = [x, T2, ..., Tn] as follows.
• If a coodinate c; is a number, just enter the number.
• If the value of a coordinate c; is a formula involving free variables, enter the formula. For example, if you obtain that æ1 = 1– 2x2 + 3x3 where x2
and r3 are free, then as the value of x you should enter 1 - 2*x 2 + 3*x 3.Use the underscore
* to indicate multiplication.
to indicate subscripts of variables, and
• If a coordinate x; is a free variable, enter the variable name as its value. For example, if x2 is a free variable, then you should enter x_2 as the
value of x2.
• If the equation has no solutions enter None as your answer.
Example. If the solution of an equation Ax = bis given by a vector x = #1, 12 , *3] where x = 1, x2 = 2 – 5x3 and x3 is a free variable, when as
your answer you should enter [1, 2 - 5*x_3, x_3] .
Enter the vector x:
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