Linear Algebra MCQ Questions And Answers
This section focuses on "Linear Algebra" in Data Science. These Linear Algebra Multiple Choice Questions (MCQ) should be practiced to improve the Data Science skills required for various interviews (campus interview, walk-in interview, company interview), placements, entrance exams and other competitive examinations.
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
View Answer
Ans : A
Explanation: Suppose the price of a bat is Rs 'x' and the price of a ball is Rs 'y'. Values of 'x' and 'y' can be anything depending on the situation i.e. 'x' and 'y' are variables.
2x + y = 100 is the answer.
2. A linear equation in three variables represents a?
A. flat objects
B. line
C. Planes
D. Both A and C
View Answer
Ans : C
Explanation: A linear equation in 3 variables represents the set of all points whose coordinates satisfy the equations.Basically, a linear equation in three variables represents a plane.
3. Which of the following is not a type of matrix?
A. Square Matrix
B. Scalar Matrix
C. Trace Matrix
D. Term Matrix
View Answer
Ans : D
Explanation: Term Matrix is not a type of matrix in linear algebra.
4. Multiplication of a matrix with a scalar constant is called?
A. Complex multiplication
B. Linear multiplication
C. Scalar multiplication
D. Constant multiplication
View Answer
Ans : C
Explanation: Multiplication of a matrix with a scalar constant is called scalar multiplication.
5. Which of the following is correct method to solve matrix equations?
A. Row Echelon Form
B. Inverse of a Matrix
C. Both A and B
D. None Of the above
View Answer
Ans : C
Explanation: The two methods to solve matrix equations : Row Echelon Form, Inverse of a Matrix
6. What is true regarding Determinant of a Matrix?
A. The concept of determinant is applicable to square matrices only.
B. To find determinant, subtract diagonal elements together.
C. determinant is a vector value that can be computed from the elements of a Trace matrix
D. Both A and C
View Answer
Ans : A
Explanation: The concept of determinant is applicable to square matrices only is true regarding Determinant of a Matrix.
7. The concept of Eigen values and vectors is applicable to?
A. Scalar matrix
B. Identity matrix
C. Upper triangular matrix
D. Square matrix
View Answer
Ans : D
Explanation: The concept of Eigen values and vectors is applicable to square matrices only.
8. Singular matrix are?
A. non-invertible
B. invertible
C. Both non-invertible and invertible
D. None Of the above
View Answer
Ans : A
Explanation: Singular matrix are non-invertible
9. What Will be output of det(A)?
B<-matrix(c(30,31,40,41,50,51,60,61,70),nrow = 3,byrow = T)
A<-solve(B)
det(A)
A. 0.0004166667
B. -0.0004166668
C. 0.0004166668
D. -0.0004166667
View Answer
Ans : D
Explanation: Option D will be output for the following code
10. Which of the following is correct application for Eigenvectors?
A. computer vision
B. physics
C. machine learning
D. All of the above
View Answer
Ans : D
Explanation: Eigenvectors find a lot of applications in different domains like computer vision, physics and machine learning.
Discussion