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# 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

2. A linear equation in three variables represents a?

A. flat objects
B. line
C. Planes
D. Both A and C

3. Which of the following is not a type of matrix?

A. Square Matrix
B. Scalar Matrix
C. Trace Matrix
D. Term Matrix

4. Multiplication of a matrix with a scalar constant is called?

A. Complex multiplication
B. Linear multiplication
C. Scalar multiplication
D. Constant 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

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

7. The concept of Eigen values and vectors is applicable to?

A. Scalar matrix
B. Identity matrix
C. Upper triangular matrix
D. Square matrix

8. Singular matrix are?

A. non-invertible
B. invertible
C. Both non-invertible and invertible
D. None Of the above

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

10. Which of the following is correct application for Eigenvectors?

A. computer vision
B. physics
C. machine learning
D. All of the above