1,954 Answered Questions for the topic linear algebra
03/29/20
The line through ( − 9 , 3 ) and ( 6 , − 7 ) also goes through the point ( t , − 2 ) for
The line through (−9,3) and (6,−7) also goes through the point (t,−2) for T=
03/28/20
Linear Equation Help
Margaret purchased a new bar of soap. Three days after she originally used the soap, she was curious how much soap per day she was using. She decided to weigh her soap and found that the bar was...
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i’m not so sure if i can do this problem.
George’s car has a 20 gallon gas tank. travel 22 miles per gallon. If M is the number of miles driven since the last fill up, he can use this formula to find out how much gas is left in the gas...
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Kathy has a more cycle with a 4 gallon gas tank. On average, she can travel 60 miles per gallon.
if M yes the number of miles driven since the last fill up, what formula can she use to find out how much gas is in left in the gas tank. how did you decide how to use or not use the value for in...
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Susan has a piggy bank into which she puts only nickels. The amount of money in dollars D in the bank is given by D = n/20, where n is the number of nickels in the piggy bank.
if Susan has 80 nickels in her piggy bank how many dollars does she have.if Susan has 94 Nichols in her piggy bank, how many dollars does she have. Based on your answers to parts A & B explain...
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Linear Algebra
03/27/20
systems of linear equations
Two pools are being filled with water. To start, the first pool contains 1900 liters of water and the second pool contains 1645liters of water. Water is being added to the first pool at a rate...
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The car is stopped at a red light. When the light turns green, the car begins moving forward. The distance in feet of the car from the light after t seconds is given by the equation D = 4t ^ 2
how far is the car from the light after 5 seconds. how far is the car from the light after 10 seconds.how far is the car from the light at t = 0 seconds explain.
i’m having trouble with this problem that i found on the internet.
When Michael and his 3 friends go to the movies, they each either skate to the theater or ride a bike. The number of wheels in the group as they go to the theater is given by the equation W = 8s +...
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Linear Algebra
03/27/20
There are b boys in a class. This is three more than four times the number of girls. How many girls are in the class
There are b boys in a class . This is three more than four times the number of girls. How many girls are in the class
alex’s can Company charges $1.00 plus an additional $3.00 per mile for a ride. madeleine’s company charges $3.00 plus an additional $2.00 per mile for a ride.
write a system of linear equations that show the cost in dollars, Y, for a cab ride of X miles for each driver. at what distance, in miles, will the cost be the same for both companies?
Linear Algebra
03/25/20
math word problem
The employees from maintenance go for coffee together every day at 9 a.m. On Monday, Hector paid $5.70 for three cartons of milk, three cups of coffee, and seven doughnuts. On Tuesday,...
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Linear Algebra
03/23/20
Alvin is 11 years younger than Elga. The sum of their ages is 43. What is elgas age?
03/22/20
Find the determinants for the matrices:
1. [ 5 4 ]
[ 1 6 ]
2. [ 1 5 -3 ]
[ -1 -3 3 ]
[ 0 4 4 ]
3. 3I (I is a 4x4 matrix)
4. [ -1 -3 0 -3 ]
[ 0 0 -1 0 ]
[ 1 -1 3 -2 ]
[ 3 2 -3 4 ]
03/22/20
Compute the determinant of the matrix that's obtained from A by applying the indicated row operation:
Suppose A ∈ M3 is a matrix with det(A) = -2The following row operations:a) R1 - 7R2b) 3R2c) R3 ⇄ R1
03/22/20
Determine which of the following are true and which are false
There exists a 3 x 3 matrix whose range is the same as its null space.
The rank of a matrix is the number of non-zero rows that it has.
For all square matrices A, it's true that det(-A) =...
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Compute each of the following quantities
Assume that A and B are 3 x 3 matrices with det(A) = 2 and det(B) = 4
det(AB)
det(2A2)
det(A-1BT)
rank(A)
dim(null(B))
Find a real number x where the matrix has a rank equal to 1.
The matrix is:
[ 2 2 0 ]
[ 1 1 0 ]
[ -1 x 0 ]
Compute the rank and nullity of each matrix
1. [ -2 4 ]
[ 1 5 ]
2. [ 1 2 -1 ]
[ -2 -4 2 ]
Linear Algebra Math
03/22/20
When asked to find ALL unit vectors perpendicular to the plane of the triangle ABC (R3), how many results should I get?
Linear Algebra
03/19/20
Find all unit vectors in R^2 which are orthogonal to (−3, 1).
Linear Algebra
03/19/20
You have 10 people in company X, 10 people in company Y and 10 people in company Z. Next year, you have 7 people in company X, 3 people in company Y and 20 people in company Z.
Knowing that 5 people left Z and 15 people joined Z. How many people left X ? Is it solvable ? If no why ?
Prove that the set {v + w, v + x, w − x} is always linearly dependent
Let v, w, x ∈ Rn be vectors. Prove that the set {v + w, v + x, w − x} is always linearly dependent (even if {v, w, x} is linearly independent).
If the set {v, w, x} is linearly independent, so is {v+w, v+x, w+x}
Let v, w, x ∈ Rn be vectors. Prove that if the set of vectors {v, w, x} is linearly independent, then so is the set {v + w, v + x, w + x}.
What is the value of t that would result in span((0, 1, −1),(1, 2, 1),(t, −1, 4))
Determine which values of t ∈ R result in span((0, 1, −1),(1, 2, 1),(t, −1, 4)) being(i) a line(ii) a planeor (iii) all of R3
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