1,954 Answered Questions for the topic linear algebra

Linear Algebra Algebra 1 Algebra 2 Prealgebra

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=
Linear Algebra Algebra 1 Linear Equations

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... more
Linear Algebra Math Algebra 1 Algebra 2

03/28/20

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... more
Linear Algebra Math Algebra 1 Algebra 2

03/28/20

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... more
Linear Algebra Math Algebra 1 Algebra 2

03/28/20

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... more
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... more
Linear Algebra Math Algebra 1 Algebra 2

03/27/20

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.
Linear Algebra Math Algebra 1 Algebra 2

03/27/20

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 +... more
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
Linear Algebra Math Algebra 1 Algebra 2

03/26/20

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,... more
Linear Algebra

03/23/20

Alvin is 11 years younger than Elga. The sum of their ages is 43. What is elgas age?

Linear Algebra Matrix Determinant

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 ]
Linear Algebra Matrix Determinant

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
Linear Algebra Matrix True Or False Det

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) =... more
Linear Algebra Matrix Null Rank

03/22/20

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))
Linear Algebra Matrix Rank

03/22/20

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 ]
Linear Algebra Matrix Rank Nullity

03/22/20

Compute the rank and nullity of each matrix

1. [ -2 4 ] [ 1 5 ] 2. [ 1 2 -1 ] [ -2 -4 2 ]
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 ?
Linear Algebra Proofs Vectors

03/12/20

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).
Linear Algebra Proofs Vectors

03/12/20

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}.
Linear Algebra Vectors Spans

03/12/20

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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