Quiz about Linear Systems Using Matrices

Question 1

Solve the system of equations:

Accepted Answer

( -1, 6, 1)

Answer

( 1, 6, -1)

Answer

None of these

Answer

( -6, -1, 1)

Question 2

A customer at a store paid $64 for 3 large candles and 4 small candles. At the same store, a second customer paid $4 more than the first customer for 1 large candle and 8 small candles. The price of each large candle is the same, and the price of each small candle is the same. Which system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y?

Accepted Answer

3x + 4y = 64

x + 8y = 68

Answer

4y = 3x + 64

8y = x + 68

Answer

4y = 3x + 64

8y = x + 60

Answer

3x + 4y = 64

x + 8y = 60

Question 3

Solve the System of Equations using Augmented Matrices.

-3x +3y = 27

x + 2y = 3

Accepted Answer

(-5,4)

Answer

(5,-4)

Answer

(5,4)

Answer

(-5,-4)

Question 4

Find the solution of the system given:

3x - y = 7

2x + y = 3

Accepted Answer

(2,-1)

Answer

(-1,2)

Answer

(5,4)

Answer

(4,5)

Question 5

On your paper, show the setup for solving the system using Cramer's Rule. Answers are written in the following form (x,y)
$$4x+6y=3$$
$$8x-3y=1$$

Accepted Answer

$$\left(\frac{1}{4},\frac{1}{3}\right)$$

Answer

$$\left(-\frac{1}{3},\frac{1}{4}\right)$$

Answer

$$\left(\frac{1}{3},\frac{1}{4}\right)$$

Answer

$$\left(\frac{1}{4},-\frac{1}{3}\right)$$

Question 6

Which ordered pair is the solution of the following system of equations? -x + y = -13 -8x - 4y = -8

Accepted Answer

(5, -8)

Answer

(5, 8)

Answer

(-5, -18)

Answer

(-5, 8)

Question 7

The arrow points to what part of a Matrix Equation?

Accepted Answer

Coefficient Matrix

Answer

Variable Matrix

Answer

Constant Matrix

Answer

Vegetable Matrix

Question 8

Find the inverse.

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 9

If matrices A and B are inverse of each other then

Accepted Answer

AB=BA=I

Answer

AB=BA

Answer

AB=BA=O

Answer

AB=O, BA= I

Linear Systems Using Matrices

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