# 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