Deck 10: Matrix Operations and Time Series Analysis

Question 1

If the price of commodity' X' is 4 in the year 2003 and 5 in the year 2004. Then, the price index for the year 2004, used 2003 as base year is:

A)100
B)125
C)130
D)135

Answer 1

125

Question 2

Changes that have taken place as a result of such forces that could not be predicted like floods, earthquakes, famines, etc is known as:

A)Secular trend
B)Seasonal movements
C)Irregular variations
D)Cyclical variations

Answer 2

Irregular variations

Question 3

In semi averages method, the given data is divided into:

A)Two equal parts
B)Three equal parts
C)Four equal parts
D)Difficult to tell

Answer 3

Two equal parts

Question 4

The additive model of the time series is:

A)Y = T + S + C + I
B)Y = TSCI
C)Y = a + bX
D)Y = a + bX + cX

Question 5

Two matrices A and B are multiplied to get AB if

A)Both are rectangular
B)Both have same order
C)No of columns of A is equal to columns of B
D)No of rows of A is equal to rows of B

Question 6

The determinant of identity matrix is :

A)1
B)0
C)Depends on the matrix
D)None of the above

Question 7

The matrix [6] is

A)Square matrix
B)Row matrix
C)Column matrix
D)All of the above

Question 8

If matrix A is of order m×n then the matrix of order n×m is called

A)Transpose of A
B)Inverse of A
C)Main diagonal of A
D)Echelon form of A

Question 9

Which of the following is true?

A)A.B = A'.B
B)(c) A.B = A.B'
C)(AB)' = B'.A'
D)(d) (A=B)' = A'. B'

Question 10

Two matrices A and B are multiplied to get AB if,

A)both are rectangular
B)both have the same order
C)number of columns of A is equal to number of rows of B
D)number of rows of A is equal to number of columns of B

Question 11

A matrix having 'm' rows and 'n' columns with m?n is said to be a

A)Scalar Matrix
B)Identity Matrix
C)Square Matrix
D)Null Matrix

Question 12

Increase in the number of patients in the hospital due to stroke is

A)Secular trend
B)Irregular variation
C)Seasonal variation
D)Cyclical variation

Question 13

Damages due to floods, droughts and strikes fires are associated with the components of which of the time series

A)Secular trend
B)Cyclical variation
C)Seasonal variation
D)Irregular variation

Question 14

Two matrices A and B are multiplied to get AB if

A)Both are rectangular
B)Both have same order
C)Number of columns of A is equal to columns of B
D)Number of rows of A is equal to columns of B

Question 15

Cramer's rule fails for

A)Determinants > 0
B)Determinants < 0
C)Determinants = 0
D)None of the above

Question 16

Cramer's Rule is not suitable for which type of problems?

A)Small systems with 4 unknowns
B)Systems with 2 unknowns
C)Large systems
D)None of the above

Question 17

The element residing in the 3rd column and 4th row is represented by:

A)(a)a12
B)(b) a43
C)(c) a34
D)NOTA

Question 18

A matrix that has elements in the horizontal line only is known as:

A)Square Matrix
B)Determinant
C)Row Matrix
D)Column Matrix

Question 19

For the equations 2x-y=5;3x+2y=-3; The values of x and y are

A)-1 and 3
B)1 and -3
C)2 and 3
D)NOTA