95 Answered Questions for the topic linear systems

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?

06/14/19

02/19/19

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 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. 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.

07/30/18

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.

07/27/18

#### 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

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.

07/27/18

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

07/26/18

07/25/18

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

03/14/18

#### What are the solutions of the system?

What are the solutions of the system?{y=2x + 6 y=x^2 + 5x +6 A. (−3, 0) and (−2, 0)B. (0, −3) and (6, 0)C. (0, 6) and (−2, 0)D. (−3, 0) and (0, 6)

01/18/18

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