Question
In: Math
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 begin with.
Solutions
milcah answered 2 years agoRelated Solutions
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
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
1---- . Is the statement "Elementary row operations on an augmented matrix never change the solution...
1----
. Is the statement "Elementary row operations on an augmented
matrix never change the solution set of the associated linear
system" true or false? Explain.
A.
True, because elementary row operations are always applied to
an augmented matrix after the solution has been found.
B.
False, because the elementary row operations make a system
inconsistent.
C.
True, because the elementary row operations replace a system
with an equivalent system.
D.
False, because the elementary row operations augment the number...
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...
Solve each item supporting your answer with clear explanation. 1.Consider the following augmented matrix of a...
Solve each item supporting your answer with clear
explanation.
1.Consider the following augmented matrix of a system of linear
equations.
( 7 −3 4 6
−3 2 6 2
2 5 3 −5 )
a. Solve the system with the Jacobi method. First rearrange to
make it diagonally dominant if possible. Use [0,0,0] as the
starting vector. Find the condition number of the matrix of
coefficients κ∞(A), and compute how many iterations are
required to get the solution accurate to...
Solve the following equation using Green’s functions. Set up the integral for the particular solution and...
Solve the following equation using Green’s functions. Set up the
integral for the particular solution and evaluate
y''+9y=x+sinx y(0)=1,y'(0)=2
Use the matrix inverse and the matrix division method to solve the following set for x and y in terms of c:
Use the matrix inverse and the matrix division method to solve the following set for x and y in terms of c:
(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 each compound inequality, write its solution set in interval notation, and graph the solution set...
Solve each compound inequality, write its solution set in
interval notation, and graph the solution set on a number line.
5) -3 < 4 p - 3 ? 13
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