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Экономикалық мат 1 модуль

Total questions: 21

Worksheet time: 11mins

Name
Class
Date
1.

Given matrices A = [[3, -7], [8, 15]] and B = [[2, -4], [-5, 1]], find the product BA. Choose the correct answer:

a)

[[ -26, -74], [-7, 50]]

b)

[[5, -11], [3, 16]]

c)

[[1, 3], [13, 14]]

d)

[[6, -14], [16, 30]]

e)

[[41, -19], [59, -17]]

2.

Given matrix A = [[4, -2], [7, -3]] and k = 2, find the matrix kA.

a)

[[2, -1], [3.5, -1.5]]

b)

[[2, -1], [-3.5, -3]]

c)

[[2, -1], [7, -3]]

d)

[[4, -2], [7, -3]]

e)

[[2, 1], [7, 3]]

3.

Given matrices A = [[2, -7], [3, 4]] and B = [[-9, 8], [-6, -4]], find the difference A - B. Choose the correct answer:

a)

[[11, -15], [9, 8]]

b)

[[ -7, 1], [-3, 0]]

c)

[[1, 1], [1, 0]]

d)

[[1, 0], [0, 1]]

e)

[[7, -1], [2, 0]]

4.

Given matrices A = [[1, 2], [3, 4]] and B = [[2, 5], [7, 6]], find the sum A + B. Choose the correct answer:

a)

[[3, 7], [10, 10]]

b)

[[-7, 1], [-3, 0]]

c)

[[1, 1], [1, 0]]

d)

[[1, 0], [0, 1]]

5.

Given the matrix A = ((2, 1, -1), (0, 1, -4)), find the result of 2A.

a)

((4, 2, -2), (0, 2, -8))

b)

((10, 1, -2), (9, 4, -14))

c)

((10, 1, 2), (9, 4, 14))

d)

((-10, 1, -2), (-9, 4, -14))

e)

((1, 0, 0), (0, 0, 1))

6.

Given the matrix A = ((2, 1, -1), (0, 1, -4)), find the result of 3A.

a)

((6, 3, -3), (0, 3, -12))

b)

((-8, 2, -3), (-3, 1, -14))

c)

((8, -2, -3), (3, -1, -14))

d)

((-8, -2, 3), (-3, -1, 14))

e)

((0, 1, -3), (3, 1, 4))

7.

Given the matrix B = ((-2, 1, 0), (-3, 2, 2)), find the result of 3B.

a)

((-6, 3, 0), (-9, 6, 6))

b)

((-2, -5, -2), (-9, -8, -2))

c)

((2, -5, 2), (9, -8, 2))

d)

((2, 5, 2), (9, 8, 2))

e)

((-2, 5, -1), (-9, 8, 1))

8.

Given the matrix B = [[-2, 1, 0], [-3, 2, 2]], calculate the 4B matrix.

a)

[[8, 4, 0], [-12, 8, 8]]

b)

[[4, 4, -3], [-3, 5, -10]]

c)

[[4, -4, -3], [-3, -5, -10]]

d)

[[4, 4, -3], [-3, 5, -10]]

e)

[[3, 5, -3], [4, 4, 10]]

9.

Given the matrix A = [[2, 1, -1], [0, 1, -4]], calculate the 5A matrix.

a)

[[10, 5, -5], [0, 5, -20]]

b)

[[-2, -5, 3], [6, -7, 8]]

c)

[[2, -5, -3], [-6, -7, -8]]

d)

[[2, 5, 3], [-6, 7, 8]]

e)

[[-2, 5, 3], [6, -7, 8]]

10.

Given the matrix A = [[2, 1, -1], [0, 1, -4]], calculate the 6A matrix.

a)

[[12, 6, -6], [0, 6, -24]]

b)

[[10, 1, -3], [6, -1, -16]]

c)

[[-10, -1, -3], [-6, -1, -16]]

d)

[[-10, -1, -3], [-6, 1, -16]]

e)

[[10, -1, 3], [6, 1, -16]]

11.

4 * ((2 1) (0 5)) - ((6 3) (2 1)) берілген матрицаны есептеңіз

a)

((2 1) (-2 19))

b)

((-2 1) (2 19))

c)

((2 1) (2 19))

d)

((10 1) (2 19))

e)

((-2 1) (-2 19))

12.

((4 0) (-1 3)) * ((5 4) (6 3)) матрицалардың көбейтіндісін табыңыз

a)

A) ((20 16) (13 5))

b)

B) ((3 3) (2 1))

c)

C) ((20 13) (16 5))

d)

D) ((33 21))

e)

E) ((13 20) (5 16))

13.

((3 6) (-1 5)) + 3 * ((0 7) (3 -1)) матрицалардың қосындысын есептеңіз

a)

((3 27) (8 2))

b)

((3 27) (10 2))

c)

((3 27) (-8 2))

d)

((6 27) (2 2))

e)

((10 2) (27 3))

14.

((7 -3) (-2 1)) * ((1 -1) (4 3)) Берілген матрицалардың көбейтіндісін табыңыз

a)

(( -5 -16) (2 5))

b)

((2 -16) (0 5))

c)

((2 0) (-16 5))

d)

((24 16) (0 5))

e)

((24 0))

15.

Calculate the product of the matrices: (2 1; 4 -2) × (1 3; -2 0)

a)

(0 6; 8 12)

b)

(8 12; 0 6)

c)

(6 8; 12 0)

d)

(12 0; 6 8)

e)

(24 0; 16 5)

16.

Calculate the product of the matrices: (1 3; -2 0) × (2 1; 4 -2)

a)

(14 -5; -4 -2)

b)

(14 -5; 4 -2)

c)

(14 5; -4 2)

d)

(-5 14; -4 -2)

e)

(14 5; 4 2)

17.

Calculate the product of the matrices: (3 2; 4 5) × (-2 3; -4 5)

a)

(-14 19; -28 37)

b)

(14 19; 28 37)

c)

(14 -19; -28 -37)

d)

(-14 -19; -28 -37)

e)

(19 14; 37 28)

18.

Calculate the product of the matrices: (-3 1; 1 2) × (0 -1; 1 0)

a)

(1 3; 2 -1)

b)

(1 2; 3 -2)

c)

(2 3)

d)

(1 3; 2 1)

19.

Calculate the sum of the matrices: 2 * ( [1 2] [3 1] ) + 3 * ( [-1 2] [2 3] ).

a)

( [-1 10] [12 11] )

b)

( [5 10] [11 12] )

c)

( [-1 -2] [12 11] )

d)

( [5 10] [12 11] )

e)

( [1 10] [12 11] )

20.

Given matrices: ( [1 3 0 2] [4 1 3 1] ) + 2 * ( [4 -3 2 -2] [-3 0 4 0] ). Calculate the sum.

a)

( [9 -3 4 -2] [-2 1 11 1] )

b)

( [7 3 0 2] [7 1 -1 1] )

c)

( [5 0 2 0] [11 1 7 1] )

d)

( [5 1] [0 1] [2 7] [0 1] )

e)

( [1 5] [1 0] [7 2] [1 0] )

21.

Calculate the matrix: 2 * ( [3 5] [4 1] ) + 5 * ( [2 3] [1 -2] ).

a)

( [16 25] [13 -8] )

b)

( [13 25] [16 8] )

c)

( [16 25] [13 8] )

d)

( [16 25] [-13 -8] )

e)

( [-16 25] [-13 8] )