Terms and Conditions

1. Acceptance of Terms

1.1 Agreement to Terms

By accessing, browsing, or using the Royal Matrix website (royalmatrix.vip) and related services, you acknowledge that you have read, understood, and agree to be bound by these Terms and Conditions, as well as our Privacy Policy and Cookie Policy.

1.2 Legal Capacity

You represent and warrant that:

• You are at least 18 years old, or if under 18, you have obtained parental or guardian consent
• You have the legal capacity to enter into these Terms
• Your use of our services complies with applicable laws in your jurisdiction
• All information you provide is accurate and complete

1.3 Modifications

We reserve the right to modify these Terms at any time. Material changes will be communicated through email notifications and prominent website notices. Continued use of our services after modifications constitutes acceptance of the updated Terms.

2. Description of Services

2.1 Educational Platform

Royal Matrix provides an online educational platform specializing in matrix mathematics and linear algebra, including:

• Interactive tutorials and educational content
• Matrix calculation tools and computational resources
• Educational assessments and progress tracking
• Community features and collaborative learning tools
• Research resources and academic publications

2.2 Computational Tools

Our platform includes advanced mathematical tools for:

• Matrix operations and calculations
• Linear algebra problem solving
• Data analysis and visualization
• Educational simulations and demonstrations
• Research-grade computational capabilities

2.3 Service Availability

We strive to maintain continuous service availability but do not guarantee uninterrupted access. Scheduled maintenance, technical issues, or external factors may temporarily affect service availability. We will provide advance notice of planned maintenance when possible.

3. User Accounts and Registration

3.1 Account Creation

To access certain features, you must create an account by providing:

• Accurate and complete personal information
• A valid email address
• A secure password meeting our requirements
• Acceptance of these Terms and our Privacy Policy

3.2 Account Security

You are responsible for:

• Maintaining the confidentiality of your account credentials
• All activities that occur under your account
• Immediately notifying us of any unauthorized access
• Using strong passwords and enabling two-factor authentication when available

3.3 Account Information

You agree to:

• Provide accurate and current information
• Update your information promptly when it changes
• Not create multiple accounts without authorization
• Not share your account with others

4. User Conduct and Responsibilities

4.1 Acceptable Use

When using our services, you agree to:

• Use the platform for legitimate educational and research purposes
• Respect the intellectual property rights of others
• Comply with all applicable laws and regulations
• Treat other users with respect and professionalism
• Provide constructive feedback and engage positively with the community

4.2 Prohibited Activities

You agree not to:

• Use our services for any unlawful or unauthorized purpose
• Attempt to gain unauthorized access to our systems or other user accounts
• Distribute malware, viruses, or harmful code
• Engage in harassment, abuse, or discriminatory behavior
• Spam, flood, or overwhelm our systems or other users
• Reverse engineer, decompile, or attempt to extract source code
• Use automated tools to access our services without permission
• Sell, transfer, or sublicense your account access
• Post or transmit offensive, inappropriate, or illegal content
• Interfere with the normal operation of our services

4.3 Academic Integrity

If using our platform for academic purposes, you must:

• Comply with your institution's academic integrity policies
• Use our tools appropriately for learning and understanding
• Not submit our generated solutions as your own work without proper attribution
• Respect any restrictions placed by your instructors

4.4 Enforcement

We reserve the right to:

• Monitor user activity for compliance
• Remove content that violates these Terms
• Suspend or terminate accounts for violations
• Report illegal activities to appropriate authorities
• Take legal action to protect our rights and interests

5. Intellectual Property Rights

5.1 Our Content

All content on our platform, including but not limited to:

• Educational materials, tutorials, and explanations
• Software, algorithms, and computational tools
• Design, layout, and user interface elements
• Logos, trademarks, and branding materials
• Research papers and academic publications

is owned by Royal Matrix or our licensors and is protected by copyright, trademark, and other intellectual property laws.

5.2 Limited License

We grant you a limited, non-exclusive, non-transferable, revocable license to:

• Access and use our services for personal, educational, or research purposes
• Download and print materials for offline study
• Share our content with proper attribution for educational purposes

5.3 User Content

When you submit content to our platform (questions, solutions, comments, feedback), you:

• Retain ownership of your original content
• Grant us a license to use, display, and distribute your content on our platform
• Represent that you have the right to share the content
• Agree that your content may be used to improve our services

5.4 Third-Party Content

Our platform may include content from third parties. Such content remains the property of its respective owners and is used with permission or under fair use principles.

5.5 DMCA Compliance

We respect intellectual property rights and comply with the Digital Millennium Copyright Act. If you believe your copyrighted material has been used inappropriately, please contact us at [email protected] with:

• Description of the copyrighted work
• Location of the allegedly infringing material
• Your contact information
• Statement of good faith belief that use is unauthorized
• Statement of accuracy and authority to act
• Your electronic or physical signature

6. Payment Terms and Subscriptions

6.1 Free and Paid Services

We offer both free and paid services:

• Free Services: Basic educational content, limited calculator access, community features
• Paid Services: Premium tutorials, advanced tools, priority support, additional features

6.2 Subscription Plans

Paid subscriptions include:

• Monthly and annual billing options
• Automatic renewal unless cancelled
• Pro-rated charges for plan changes
• Educational discounts for verified students and institutions

6.3 Payment Processing

• Payments are processed by secure third-party providers
• We accept major credit cards and PayPal
• All prices are in EUR unless otherwise specified
• Prices include applicable taxes where required

6.4 Refunds and Cancellations

• 30-day money-back guarantee for new subscriptions
• Cancellations take effect at the end of the current billing period
• Refunds for technical issues or service failures
• No refunds for partial months or violated terms

6.5 Price Changes

We may change our pricing with 30 days' advance notice. Existing subscribers will be notified and may cancel before changes take effect.

7. Educational Content and Accuracy

7.1 Educational Purpose

Our content is designed for educational purposes and should be used as a learning aid rather than a replacement for formal education or professional consultation.

7.2 Accuracy and Completeness

While we strive for accuracy, we cannot guarantee that all content is:

• Error-free or complete
• Suitable for all educational levels
• Appropriate for specific academic requirements
• Current with the latest research developments

7.3 Professional Consultation

Our services are not a substitute for professional mathematical consultation or formal academic instruction. For critical applications, please consult qualified professionals.

7.4 Computational Results

While our calculators use industry-standard algorithms, users should:

• Verify results for critical applications
• Understand the limitations of computational methods
• Consider numerical precision and rounding errors
• Use appropriate validation techniques

8. Privacy and Data Protection

Your privacy is important to us. Our collection, use, and protection of personal information is governed by our Privacy Policy, which is incorporated by reference into these Terms.

8.1 Data Collection

We collect information necessary to provide our services, including account information, usage data, and educational progress.

8.2 Data Use

We use your data to provide services, improve our platform, and communicate with you according to your preferences.

8.3 Data Protection

We implement appropriate security measures to protect your personal information and comply with applicable data protection laws.

9. Disclaimers and Limitations

9.1 Service Disclaimers

Our services are provided "as is" and "as available" without warranties of any kind, either express or implied, including but not limited to:

• Merchantability or fitness for a particular purpose
• Non-infringement of third-party rights
• Uninterrupted or error-free operation
• Accuracy or completeness of content
• Security or virus-free operation

9.2 Limitation of Liability

To the maximum extent permitted by law, Royal Matrix shall not be liable for:

• Indirect, incidental, special, or consequential damages
• Loss of profits, data, or business opportunities
• Damages resulting from use or inability to use our services
• Third-party content or services
• User content or conduct

Our total liability shall not exceed the amount paid by you for our services in the 12 months preceding the claim.

9.3 Indemnification

You agree to indemnify and hold harmless Royal Matrix from claims arising from:

• Your use of our services
• Violation of these Terms
• Infringement of third-party rights
• Your content or conduct

10. Termination

10.1 Termination by User

You may terminate your account at any time by:

• Using the account deletion feature in your settings
• Contacting our support team
• Following the cancellation process for paid subscriptions

10.2 Termination by Royal Matrix

We may suspend or terminate your account for:

• Violation of these Terms
• Fraudulent or illegal activity
• Non-payment of fees
• Abuse of our services or other users
• Extended inactivity (with notice)

10.3 Effect of Termination

Upon termination:

• Your access to paid features will cease
• Your account data may be deleted after a reasonable period
• Outstanding payment obligations remain due
• Certain provisions of these Terms will survive termination

11. Governing Law and Disputes

11.1 Governing Law

These Terms are governed by the laws of the Czech Republic, without regard to conflict of law principles.

11.2 Jurisdiction

Any disputes arising from these Terms or your use of our services shall be subject to the exclusive jurisdiction of the courts in Prague, Czech Republic.

11.3 Dispute Resolution

Before filing a lawsuit, we encourage you to contact us to seek a resolution. We are committed to resolving disputes fairly and efficiently.

11.4 Class Action Waiver

You agree to resolve disputes individually and waive the right to participate in class actions or collective proceedings.

12. Changes to Terms

12.1 Modification Rights

We reserve the right to modify these Terms at any time to reflect:

• Changes in our services or business practices
• Legal or regulatory requirements
• Security or safety considerations
• User feedback and platform improvements

12.2 Notice of Changes

We will provide notice of material changes through:

• Email notifications to registered users
• Prominent notices on our website
• In-platform notifications
• Updated effective dates in the Terms

12.3 Acceptance of Changes

Continued use of our services after the effective date of changes constitutes acceptance. If you disagree with changes, you may terminate your account.

13. Contact Information

13.1 General Contact

13.2 Legal Inquiries

For legal matters, intellectual property concerns, or terms-related questions, contact our legal team at [email protected].

13.3 Miscellaneous

These Terms constitute the entire agreement between you and Royal Matrix. If any provision is found unenforceable, the remaining provisions will continue in effect. Our failure to enforce any right does not waive that right.