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Evaluate the determinant

Question : Evaluate the determinant : 2151597

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Evaluate the determinant.

1)

A) 27

B) -27

C) 69

D) -38

2)

A) 21

B) 51

C) 33

D) -21

3)

A) -7

B) 4

C) 8

D) -8

4)

A) 8

B) -8

C) 64

D) 4

Use Cramer's Rule, if possible, to solve the system of linear equations.

5) 5x + 6y = -8

2x + y = -6

A) (4, -2)

B) (-4, 2)

C) (2, -4)

D) (-2, -4)

6) 4x + 3y = 57

2x + 3y = 39

A) (9, 7)

B) (-7, 9)

C) (7, 9)

D) (-9, -7)

7) 3x + 2y = 28

3x - 2y = 8

A) (5, 6)

B) (6, 5)

C) (-6, -5)

D) (-5, 6)

8) (4x - 7y =5)(2x + 5y =-3)

A) ((23/3), - (11/3)

B) (- (2/17), (11/17)

C) ((2/17), - (11/17)

D) ((2/3), (1/3)

9) {8x + 2y = (16/3)

3x - 3y = 3

A) (- (11/15), - (4/15)

B) ((11/15), - (4/15)

C) ((11/15), (26/15)

D) not possible

10) {x + 2y = 10

(1/4)x - y = -20

A) ((100/3), (85/3)

B) (- 60, 5)

C) (- 20, 15)

D) not possible

11) {x + y = 5

9x + 9y = 45

A) (2, 3)

B) {(x, y)|x + y = 5}

C) (0, 0)

D) ∅

Evaluate the determinant.

12)

A) 30

B) 10

C) -46

D) -10

13)

A) -135

B) 140

C) 189

D) 135

14)

A) 1

B) 0

C) 72

D) -16

15)

A) 75

B) -63

C) 9

D) -9

16)

A) 20

B) 204

C) -92

D) -20

17)

A) 0

B) 64

C) 80

D) -64

18)

A) -90

B) 130

C) 80

D) -12

Use Cramer's Rule, if possible, to solve the system of linear equations.

19) (-5x + 5y - z = 11)( x + 2y - 8z = -52)(-3x + y + z = 5)

A) (8, 9, 8)

B) (4, -8, -9)

C) (5, 6, 9)

D) (4, 8, 9)

20) (6x - 6y - 4z = -20)( -6x + 3y - 5z = -67)(8x - 2y + 5z = 86)

A) (5, 8, 5)

B) (7, -5, -8)

C) (7, 5, 8)

D) (8, 3, 8)

21) (4x - 2z = 14)(-8x + 9y + 6z = 8)(5x - 6y = 28)

A) (2, 9, 2)

B) (9, 0, 9)

C) (8, 2, 9)

D) (8, -2, -9)

Solution
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Algebra 4 Months Ago 25 Views
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