Podcast
Questions and Answers
Which domains should be unblocked if you're behind a web filter to access Khan Academy?
Which domains should be unblocked if you're behind a web filter to access Khan Academy?
What do you need to do to access Khan Academy if you're seeing the message 'To use Khan Academy you need to upgrade to another web browser'?
What do you need to do to access Khan Academy if you're seeing the message 'To use Khan Academy you need to upgrade to another web browser'?
What is the reason for the message 'To use Khan Academy you need to upgrade to another web browser'?
What is the reason for the message 'To use Khan Academy you need to upgrade to another web browser'?
Which of the following best defines a matrix?
Which of the following best defines a matrix?
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What is a null matrix?
What is a null matrix?
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What is a principal submatrix?
What is a principal submatrix?
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Study Notes
Introduction to Matrices: Basics and Types
- Matrices are important in GATE exams, with at least one fashion and sometimes two questions on the topic.
- A matrix is a two-dimensional array that is represented as "M x N," where M is the number of rows and N is the number of columns.
- Rectangular matrices have M ≠ N, while square matrices have M = N.
- The unit matrix is a square matrix with all principal diagonal elements equal to one and all other elements equal to zero.
- The null matrix is a matrix in which all elements are zero.
- Row matrices have only one row, while column matrices have only one column.
- A submatrix is obtained by eliminating some rows and/or columns from a given matrix.
- The principal submatrix is a square submatrix in which the principal diagonal elements also occur in the principal diagonal of the original matrix.
- From a square matrix, if exactly one row and one column are eliminated, the resulting matrix is also a square matrix.
- The resulting submatrix is a principal submatrix if its principal diagonal elements also occur in the principal diagonal of the original matrix.
- Not all combinations of eliminated rows and columns will result in a principal submatrix.
- The properties of matrices are important for matrix operations such as finding the matrix inverse and matrix multiplication.
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Description
"Upgrade Your Browser for Khan Academy: A Quick Quiz" - Test your knowledge on the importance of upgrading your web browser to access Khan Academy. Learn about the domains that need to be unblocked and choose the best browser option to optimize your learning experience. Take this quiz and get ready to enhance your online education journey!
