OJK Algebra 11 Quiz 4

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CURRENT CHAPTER IS 4, Matrices and determinants

Current quizaroo # 4

1) Find the solution to the following system of equations: x + y - z = -1
4x - 3y + 2z = 16
2x - 2y - 3z = 5

a) (2, -2, 1)

b) (1, 3, -2)

c) (1, 2, -3)

d) no solution

e) infinite number of solutions

2) Which of the following is NOT a row operation:

a) Interchange any two rows

b) Add a multiple of one row to another row

c) Multiply any row by a non zero number.

d) Interchange any two columns

e) They are all row operations

3) Which of the following statements are true about matrices and inverses.

a) Only square matrices can have inverses.

b) All square matrices have inverses.

c) A matrix multiplied by its inverse = the identity matrix

d) Both a and c

e) Both a and b

4) Find the determinant of the following matrix:

a) 17

b) -17

c) 53

d) -53

e) 0

5) Find the values for D, D_x, and D_y using Cramer's Rule to solve:

3x - 2y = 4

6x + y = 13

a) D = 15, D_x = 30, D_y = 15

b) D = 1, D_x = 3, D_y = 1

c) D = 10, D_x = 20, D_y = 30

d) D = 10, D_x = 20, D_y = 20

e) D = 15, D_x = 2, D_y = 1