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Inverse of a Matrix Video Lecture | Matrices Simplified (Mathematics Trick): Important for K12 students - Quant
FAQs on Inverse of a Matrix Video Lecture - Matrices Simplified (Mathematics Trick): Important for K12 students - Quant
| 1. What is the definition of the inverse of a matrix? |  |
Ans. The inverse of a matrix is a matrix that, when multiplied by the original matrix, gives the identity matrix as the result.
| 2. How can the inverse of a matrix be calculated? | |
Ans. The inverse of a matrix can be calculated by using the formula: inverse of A = (1/determinant of A) * adjoint of A, where the adjoint of A is the transpose of the cofactor matrix of A.
| 3. Is every matrix invertible? | |
Ans. No, not every matrix is invertible. In order for a matrix to have an inverse, it must be a square matrix and have a non-zero determinant.
| 4. What are the properties of the inverse of a matrix? | |
Ans. Some properties of the inverse of a matrix are:
- The inverse of the inverse of a matrix is the original matrix.
- The product of a matrix and its inverse is the identity matrix.
- The inverse of the product of two matrices is the product of their inverses in reverse order.
| 5. Can a matrix have more than one inverse? | |
Ans. No, a matrix cannot have more than one inverse. If a matrix has an inverse, it is unique. However, it is possible for a matrix to not have an inverse at all.
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Dec 23, 2024 Last updated |
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