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WorksheetsQuiz-4 Linear Algebra
Total questions: 20
Worksheet time: 10mins
Which of the following is the correct definition of a vector in linear algebra?
A scalar quantity
A quantity with magnitude and direction
A quantity with magnitude only
A matrix with a single row or column
What is the determinant of a 2x2 matrix with elements a, b, c, and d?
ad - bc
ac - bd
ad + bc
bc - ad
Given two matrices A and B, under what condition can you perform matrix multiplication A * B?
The number of columns in A is equal to the number of rows in B
The number of rows in A is equal to the number of columns in B
The number of rows in A is equal to the number of rows in B
The number of columns in A is equal to the number of columns in B
Which of the following operations is NOT a valid elementary row operation in matrix manipulation?
Interchanging two rows
Multiplying a row by a non-zero constant
Adding a multiple of one row to another row
Dividing a row by a non-zero constant
If a square matrix A is multiplied by its inverse, the result is:
The identity matrix
The zero matrix
A matrix with all elements equal to one
A matrix with all elements equal to zero
The eigenvalues of a matrix are the solutions to:
Ax = 0
Ax = b
|A| = 0
|A| = λI
Which of the following statements about eigenvectors is true?
Eigenvectors always have distinct eigenvalues
Eigenvectors are always perpendicular to each other
A matrix can have multiple linearly independent eigenvectors corresponding to the same eigenvalue
Eigenvectors are always the columns of the identity matrix
The rank of a matrix is defined as:
The sum of all its elements
The number of rows in the matrix
The number of columns in the matrix
The maximum number of linearly independent rows or columns
What is the mean of the following data set: [02, 05, 08, 11, 14]?
(a)
The median of the data set [05, 08, 12, 15, 18] is
(a)
The mode of the data set [3, 5, 7, 5, 2, 8, 5, 9] is:
(a)
Which steps are typically a part of an EDA?
Check all that apply.
Missing data analysis
Hypothesis testing
Calculating descriptive statistics
Dimensionality reduction
Ervin bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142. What is the range of Ervin's scores?
193
127
60
66
........................ shows direction of the linear relationship between variables
Correlation
Covariance
Anova
Standard Deviation
What was 'data science' alternate name before?
Datalogy
Data-learning
Datanology
Dat-logy
Which of these are the two types of quantitative data?
Nominal
Ordinal
Discrete
Continuous
Collections or groups of related data are generally referred to as ..........
Data Intelligence
Data Analytics
Data analysis
Datasets
The data with an exact meaning is ________
Data
Structured file
Information
Data mining
Question to ask in BI is________
Why did this not happen?
What happened?
How did this happen?
What will not happen?
mean, median, mode
measures of data
measurements
measures of center
calculator for statistics
calculator for statistics
