Deck 1: Linear Algebra and Economics

Question 1

Suppose that price of 2 ball and 1 bat is 100 units, then What will be representation of problems in Linear Algebra in the form of x and y?

A)2x + y = 100
B)2x + 2y = 100
C)2x + y = 200
D)x + y = 100

Answer 1

2x + y = 200

Question 2

Which of the following is not a type of matrix?

A)square matrix
B)scalar matrix
C)trace matrix
D)term matrix

Answer 2

term matrix

Question 3

Multiplication of a matrix with a scalar constant is called?

A)complex multiplication
B)linear multiplication
C)scalar multiplication
D)constant multiplication

Answer 3

scalar multiplication

Question 4

The concept of Eigen values and vectors is applicable to?

A)scalar matrix
B)identity matrix
C)upper triangular matrix
D)square matrix

Question 5

Singular matrix are?

A)non-invertible
B)invertible
C)both non-invertible and invertible
D)none of the above

Question 6

Determinant value of a singular Matrix

A)0
B)not equal to 0
C)any value
D)none of the above

Question 7

The matrix which is the sum of all the diagonal elements of a square matrix?

A)diagonal matrix
B)trace matrix
C)identity matrix
D)both a and b

Question 8

_______________ is equal to the maximum number of linearly independent row vectors in a matrix.

A)row matrix
B)rank of a matrix
C)term matrix
D)linear matrix

Question 9

Vectors whose direction remains unchanged even after applying linear transformation with the matrix are called?

A)eigen values
B)eigenvectors
C)cofactor matrix
D)minor of a matrix

Question 10

Singular Value Decomposition is some sort of generalization of _______ decomposition.

A)singular
B)eigen vector
C)eigen value
D)none of the above

Question 11

The cofactor is always preceded by a?

A)positive (+) sign
B)negative (-) sign
C)positive (+) or negative (-) sign
D)with decimal

Question 12

What is symmetric Matrix?

A)?
B)=
C)both a and b
D)none of the above

Question 13

What is the transpose of cofactor matrix?

A)inverse matrix
B)singular matrix
C)non singular matrix
D)ad joint of a matrix

Question 14

Rank of a matrix

A)highest non negative minor
B)highest negative minor
C)both a and b
D)highest non zero minor

Question 15

f(x) = 3x³ - 4x² + 10 implies

A)f (1) = 10
B)f \(x) = 9x² - 8x + 10
C)f \\(x) = 18x - 8
D)f \(2) = 20

Question 16

f (x) = 1og x , F'(x) =

A)2x
B)1/2x
C)1/x
D)x

Question 17

Slop of total cost curve equal to

A)mr
B)mc
C)ar
D)ac

Question 18

What is the value of slope in the inflection point?

A)1
B)2
C)-1
D)0

Question 19

What is the value of elasticity of demand when MR is equal to zero?

A)1
B)0
C)-1
D)4

Question 20

When cross elasticity of demand is positive value, what are the types of goods they are?

A)substitute goods
B)complimentary good
C)normal good
D)inferior good

Question 21

---------------------------- is the relationship between slope of demand curve and elasticity of demand?

A)inverse relationship
B)positive relationship
C)proportional relationship
D)none of the above

Question 22

= 25 ? 2 = 10 + What is the equilibrium level of price?

A)5
B)15
C)-5
D)-15

Question 23

? + 3 =

A)+ 3
B)+ c
C)+ 3 +
D)+ 3.

Question 24

Q= 24-2p what is the consumer surplus at p= 5

A)20
B)25
C)23
D)24