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Order of a Matrix and some important terms Video Lecture | Mathematics (Maths) Class 12 - JEE

204 videos|288 docs|139 tests

Timeline

00:03 Introduction
00:44 What are the Elements in a Matrix?
01:35 Position of an Element in the Matrix
02:32 Order of a Matrix

FAQs on Order of a Matrix and some important terms Video Lecture - Mathematics (Maths) Class 12 - JEE

1. What is the order of a matrix?
Ans. The order of a matrix refers to the number of rows and columns it has. It is usually denoted as "m x n", where "m" represents the number of rows and "n" represents the number of columns.
2. How is the order of a matrix determined?
Ans. To determine the order of a matrix, you need to count the number of rows and columns it has. The number of elements in each row should be the same, and the number of elements in each column should also be the same.
3. Can a matrix have a different number of rows and columns?
Ans. Yes, a matrix can have a different number of rows and columns. In such cases, the matrix is called a rectangular matrix. The order of a rectangular matrix is denoted as "m x n", where "m" represents the number of rows and "n" represents the number of columns.
4. What is a square matrix?
Ans. A square matrix is a type of matrix that has an equal number of rows and columns. In other words, the order of a square matrix is "n x n", where "n" represents the number of rows and columns. For example, a 3x3 matrix or a 4x4 matrix is a square matrix.
5. What are some important terms related to matrices?
Ans. Some important terms related to matrices are: - Scalar: A scalar is a single number in a matrix. - Diagonal: The diagonal of a matrix refers to the elements that lie on the main diagonal, from the top left to the bottom right. - Identity Matrix: An identity matrix is a square matrix with 1s along the main diagonal and 0s elsewhere. - Transpose: The transpose of a matrix is obtained by swapping its rows with columns. - Determinant: The determinant of a square matrix is a scalar value that can be used to solve systems of linear equations and measure transformations.
204 videos|288 docs|139 tests

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