100 Answered Questions for the topic linear systems

Linear Systems Linear Algebra

09/15/20

For what values of a is the following system consistent

x+y = a-2x+4y = 2a = ?

08/20/20

Linear systems that have infinite many solutions.

From below choices, select all linear systems that have  many solutions.A.)B.) C.) D.) E.) F.)

Systems of Linear Equations Question

Find all the solutions to the following linear system:y/x + 2x/y = 6/xyx2 + y2 = 5

Linear Systems Question

Let t ∈ R and consider the linear system described by the following augment matrix: A = [ 1 -1 | 0 ] [ 1 1 | 1 ] [ 0 1 | t ] For which values t does this system have:(i) no solutions(ii)... more

02/24/20

Systems of Linear Equations Questions

Find all solutions to the following systems of linear equations: (a) x + y = −5 2x − 4y = −4 (b) x + y − z = 1 x + 2y + 2z = 1 2x + y − 5z = 2

02/24/20

Linear Systems Equation Solutions Questions

Determine how many solutions each of the following linear systems have:(a) 6x + 8y = 5 −2x + 9y = −6 (b) 5x + 2y + z = 4 −x + 8y + z = −2 (c) 2x − 3y = −1 3x + y = −4 x − 7y = 2 (d) x + 3y + 3z = 3... more
Linear Systems Math Linear Algebra Algebra

10/16/19

Determining the type of triangle given 3 lines

Determine the type of triangle that is formed by the lines x+y=11, x-y=1 and x-3y=3. Justify your decision?
Linear Systems Math Algebra 2 Equations

06/14/19

each womens washroom uses an average of 1304 rolls of toilet paper and 47 rolls of paper towel per day, which costs a total of $51.34 per day. write an equation to model the information?

each womens washroom uses an average of 1304 rolls of toilet paper and 47 rolls of paper towel per day, which costs a total of $51.34 per day. Each men's washroom uses an average of 540 rolls of... more
Linear Systems Algebra 2 Word Problem

02/19/19

Word problems using linear systems

The Clarke’s son suggests that they rent a car that costs $250 for the week plus $0.20/km. Their daughter does not want to drive far, so she suggests a car that is only $96 for the week but... more
Linear Systems Word Problems

09/24/18

you are making 100 L of 48% alcohol solution by mixing 40% alcohol and 60% alcohol. how many litres of each must be used?

you need to know how many litres of 40% alcohol and 60% alcohol must be used.  
Linear Systems

09/21/18

Two different kinds of coffee beans are blended individually, they cost $4.60/kg and $6.40/kg How much of each kind was used if 400kg of the mixture cost $6/kg?

Don't solve the linear system. Just, write let statements and the equations.

How to determine whether T is linearly independent ? Justify your answer please.

Let S={X1,X2,X3} be a linearly independent set of vectors in R^3. How to determine whether T={2X1 + X2 - 2X3,4X1+ 3X2,3X1 + 2X2 - X3} is linearly independent. Justify your answer please.

Is this True or False ? Justify please

If X1,X2 and X3 are vectors in R3 such that {X1,X2} and {X1,X3} are linearly independent sets, then {X1,X2,X3} is a linearly independent set.

07/27/18

Please help me find the matrix X. Justify your answer please.

               2 1 0                   1 0 1Let A = [ 1 0 1 ] and B = [ 2 0 1 ]                0 3 0                  0 1 1 Find the matrix X such that (2X + A)-1 = B.

I want to solve this, i need help. Justify your answer please.

Consider the linear system: x - 2y + 3z = 4 2x - 3y + az = 5 3x - 4y + 5z = b   For which values of a and b does the linear system have a) no solution, b) a unique solution, c) infinitely... more

Is this True or False ? Justify your answer please.

If A is a 2 x 2 matrix such that AAT (Transpose) = 0, then A = 0.
Linear Systems Word Problem Help

07/26/18

Linear Systems

Maricopa's Success scholarship fund receives a gift of $ 145000. The money is invested in stocks, bonds, and CDs. CDs pay 4.25 % interest, bonds pay 3.3 % interest, and stocks pay 11.3 % interest.... more
Linear Systems

07/25/18

Word Problem Linear Systems

The cost of a ticket to the circus is $19.00 for children and $34.00 for adults. On a certain day, attendance at the circus was 500 and the total gate revenue was $14,000. How many children and how... more
Linear Systems

07/25/18

Linear Systems question

Maricopa's Success scholarship fund receives a gift of $ 145000. The money is invested in stocks, bonds, and CDs. CDs pay 4.25 % interest, bonds pay 3.3 % interest, and stocks pay 11.3 % interest.... more
Linear Systems

05/14/18

How many birds were at the shelter on Monday?

An animal shelter spends $4.50 per day to care for each bird and $8.50 per day to care for each cat. Dominic noticed that the shelter spent $175.00 caring for birds and cats on Monday. Dominic... more

03/25/18

Differential Equation Question

How would I write this in matrix form (x' = AX)    x' = x y' = y   Note: Is it supposed to be like this: x' = (1 v 1)(x v y) or x' = (1 + 0 v 1 + 0)(x v y)? Note: the "v" means the value after... more
Linear Systems

01/18/18

Linear system equation in description.

A store sells a 1-L can of paint for $9.60 and a 4-L can of paint for $20.80. The store has 140 cans of paint, for a total selling price of $2206.40. Write a linear system that models the situation.
Linear Systems

01/17/18

Determine the cost of one desk and one chalkboard

35 desks and 3 chalkboards cost $2082 40 desks and 2 chalkboards cost $2238
Linear Systems

01/17/18

Determine the cost of one chalkboard and one desk

35 desks and 3 chalkboards cost $2082 40 desks and 2 chalkboards cost $2238
Linear Systems

01/09/18

ordered pairs that go into the equations y=2x-4 and 2y=-x

I need help with this problem

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