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Finding Inverse of a Matrix using Adjoint (2x2 matrix) Video Lecture | Mathematics (Maths) Class 12 - JEE
FAQs on Finding Inverse of a Matrix using Adjoint (2x2 matrix) Video Lecture - Mathematics (Maths) Class 12 - JEE
| 1. What is the adjoint of a matrix? |  |
Ans. The adjoint of a matrix is obtained by taking the transpose of the matrix of cofactors of the given matrix.
| 2. How can the inverse of a 2x2 matrix be found using the adjoint? | |
Ans. To find the inverse of a 2x2 matrix using the adjoint, we follow these steps:
1. Find the adjoint matrix by taking the transpose of the matrix of cofactors.
2. Multiply the adjoint matrix by the reciprocal of the determinant of the original matrix.
| 3. Why is the inverse of a matrix important? | |
Ans. The inverse of a matrix is important because it allows us to solve systems of linear equations, calculate determinants, and perform various other mathematical operations. It is particularly useful in solving problems involving transformations and solving equations in physics, engineering, and computer science.
| 4. Can all matrices have an inverse? | |
Ans. No, not all matrices have an inverse. A matrix must be square (i.e., have the same number of rows and columns) and have a non-zero determinant to have an inverse. If a matrix does not meet these conditions, it is called a singular or non-invertible matrix.
| 5. What happens if the determinant of a matrix is zero? | |
Ans. If the determinant of a matrix is zero, then the matrix is said to be singular or non-invertible. In this case, the matrix does not have an inverse, and solving equations or performing certain operations involving the matrix becomes more challenging.
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