Welcome to the Sequences,Sums and Matrices MCQs Page

Dive deep into the fascinating world of Sequences,Sums and Matrices with our comprehensive set of Multiple-Choice Questions (MCQs). This page is dedicated to exploring the fundamental concepts and intricacies of Sequences,Sums and Matrices, a crucial aspect of Discrete Mathematics. In this section, you will encounter a diverse range of MCQs that cover various aspects of Sequences,Sums and Matrices, from the basic principles to advanced topics. Each question is thoughtfully crafted to challenge your knowledge and deepen your understanding of this critical subcategory within Discrete Mathematics.

Check out the MCQs below to embark on an enriching journey through Sequences,Sums and Matrices. Test your knowledge, expand your horizons, and solidify your grasp on this vital area of Discrete Mathematics.

Note: Each MCQ comes with multiple answer choices. Select the most appropriate option and test your understanding of Sequences,Sums and Matrices. You can click on an option to test your knowledge before viewing the solution for a MCQ. Happy learning!

Sequences,Sums and Matrices MCQs | Page 10 of 12

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02

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Group Theory

Q91.

For a matrix A, if a matrix B is obtained by changing its rows into columns and column into rows, then relation between A and B is?

A² = B

Aᵀ = B

Depends on the matrix

None of the mentioned

Discuss

Answer: (b).Aᵀ = B

Q92.

For matrix A, (Aᵀ)ᵀ is equals to ___________

Aᵀ

Can’t say

None of the mentioned

Discuss

Answer: (a).A

Q93.

For matrix A and a scalar k, (kA)ᵀ is equal to _________

k(A)

k(A)ᵀ

k²(A)

k²(A)ᵀ

Discuss

Answer: (b).k(A)ᵀ

Q94.

If A is a lower triangular matrix then Aᵀ is a _________

Lower triangular matrix

Upper triangular matrix

Null matrix

None of the mentioned

Discuss

Answer: (b).Upper triangular matrix

Q95.

If matrix A and B are symmetric and AB = BA iff _________

AB is symmetric matrix

AB is an anti-symmetric matrix

AB is a null matrix

None of the mentioned

Discuss

Answer: (a).AB is symmetric matrix

Q96.

A matrix can be expressed as sum of symmetric and anti-symmetric matrices.

True

False

May be True or False

Can't say

Discuss

Answer: (a).True

Q97.

The determinant of a diagonal matrix is the product of leading diagonal’s element.

True

False

May be True or False

Can't say

Discuss

Answer: (a).True

Q98.

If for a square matrix A and B,null matrix O, (AB)ᵀ = O implies Aᵀ = O and Bᵀ = O.

True

False

May be True or False

Can't say

Discuss

Answer: (b).False

Q99.

Let A = [aᵢⱼ] given by abᵢⱼ = (i-j)³ is a _________

Symmetric matrix

Anti-Symmetric matrix

Identity matrix

None of the mentioned

Discuss

Answer: (b).Anti-Symmetric matrix

Q100.

Trace of the matrix of odd ordered anti-symmetric matrix is _________

All of the mentioned

Discuss

Answer: (a).0

Page 10 of 12

Welcome to the Sequences,Sums and Matrices MCQs Page

Sequences,Sums and Matrices MCQs | Page 10 of 12

Explore more Topics under Discrete Mathematics

Logics and Proofs

Sets and Functions

Algorithms

Number Theory and Cryptography

Induction and Recursion

Counting Theory

Discrete Probability

Relations

Graphs and Graphs Properties

Tree Properties

Boolean Algebra and Modeling Computations

Group Theory

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