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What are Singular and Non Singular Matrices? Video Lecture | Mathematics (Maths) Class 12 - JEE

	Mathematics (Maths) Class 12 204 videos\|290 docs\|139 tests

Mathematics (Maths) Class 12

204 videos|290 docs|139 tests

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FAQs on What are Singular and Non Singular Matrices? Video Lecture - Mathematics (Maths) Class 12 - JEE

1. What is a singular matrix?

A singular matrix is a square matrix that does not have an inverse. In other words, it is not possible to find another matrix that, when multiplied with the singular matrix, gives the identity matrix. Singular matrices have determinant equal to zero.

2. What is a non-singular matrix?

A non-singular matrix, also known as an invertible or non-degenerate matrix, is a square matrix that has an inverse. This means that there exists another matrix that, when multiplied with the non-singular matrix, results in the identity matrix. Non-singular matrices have a non-zero determinant.

3. How can we determine if a matrix is singular or non-singular?

To determine if a matrix is singular or non-singular, we need to calculate its determinant. If the determinant is equal to zero, then the matrix is singular. If the determinant is non-zero, then the matrix is non-singular.

4. What is the significance of singular and non-singular matrices?

Singular matrices are important in various areas of mathematics, such as linear algebra and differential equations, as they represent systems of equations that have no unique solution. Non-singular matrices, on the other hand, are crucial in solving systems of linear equations and finding unique solutions.

5. Can a matrix be both singular and non-singular?

No, a matrix cannot be both singular and non-singular at the same time. The concepts of singular and non-singular are mutually exclusive. A matrix is either singular (determinant equal to zero) or non-singular (determinant non-zero).

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	Nov 22, 2024 Last updated

Video Description: What are Singular and Non Singular Matrices? for JEE 2024 is part of Mathematics (Maths) Class 12 preparation. The notes and questions for What are Singular and Non Singular Matrices? have been prepared according to the JEE exam syllabus. Information about What are Singular and Non Singular Matrices? covers all important topics for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for What are Singular and Non Singular Matrices?.

Introduction of What are Singular and Non Singular Matrices? in English is available as part of our Mathematics (Maths) Class 12 for JEE & What are Singular and Non Singular Matrices? in Hindi for Mathematics (Maths) Class 12 course. Download more important topics related with notes, lectures and mock test series for JEE Exam by signing up for free.

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	Mathematics (Maths) Class 12 204 videos\|290 docs\|139 tests

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204 videos|290 docs|139 tests

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