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What are Matrices? Video Lecture | Mathematics (Maths) for JEE Main & Advanced
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FAQs on What are Matrices? Video Lecture - Mathematics (Maths) for JEE Main & Advanced
| 1. What is a matrix? |  |
A matrix is a rectangular array of numbers arranged in rows and columns. It is often used in mathematics, physics, computer science, and various other fields to represent and manipulate data or to solve systems of linear equations.
| 2. How are matrices represented? | |
Matrices are typically represented by enclosing the numbers in brackets and separating the elements within each row by commas. For example, a 2x3 matrix may be represented as [1, 2, 3; 4, 5, 6], where the semicolon indicates the end of a row.
| 3. What are the dimensions of a matrix? | |
The dimensions of a matrix are determined by the number of rows and columns it has. For example, a matrix with 3 rows and 4 columns is said to have dimensions 3x4. The number of rows is usually mentioned first, followed by the number of columns.
| 4. How are matrices added or subtracted? | |
To add or subtract matrices, the corresponding elements in each matrix are added or subtracted. This can only be done if the matrices have the same dimensions. For example, to add two matrices [1, 2; 3, 4] and [5, 6; 7, 8], we simply add the corresponding elements to get [6, 8; 10, 12].
| 5. What is matrix multiplication? | |
Matrix multiplication is a binary operation that combines two matrices to produce a third matrix. It involves multiplying the elements of one matrix with the corresponding elements of the other matrix and summing up the results. The number of columns in the first matrix must be equal to the number of rows in the second matrix for multiplication to be possible.
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