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find detrminant of given and solve it...u will get the required answer...i did it hv a look at it...HOPE U GOT IT...




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FAQs on Question of Determinant- Maths, Class 12

1. What is a determinant in mathematics?
Ans. In mathematics, a determinant is a value that can be computed from the elements of a square matrix. It provides important information about the matrix, such as whether it is invertible or singular.
2. How is the determinant of a matrix calculated?
Ans. The determinant of a matrix is calculated by applying a specific formula. For a 2x2 matrix, the determinant is calculated by multiplying the elements on the main diagonal and subtracting the product of the elements on the other diagonal. For larger matrices, the determinant is calculated using expansion by minors or using row operations.
3. What does the determinant of a matrix represent?
Ans. The determinant of a matrix represents several properties of the matrix. It can determine if the matrix is invertible (non-zero determinant) or singular (zero determinant). Additionally, the determinant can be used to compute the area or volume of geometric shapes, solve systems of linear equations, and find eigenvalues and eigenvectors.
4. What happens to the determinant if a row or column of a matrix is multiplied by a constant?
Ans. If a row or column of a matrix is multiplied by a constant, the determinant of the matrix is also multiplied by the same constant. This property is known as scalar multiplication. It allows for simplification and finding the determinant of matrices with large values.
5. Can determinants be negative?
Ans. Yes, determinants can be negative. The sign of the determinant depends on the arrangement of the matrix elements and the operations used to calculate it. A negative determinant indicates that the matrix has a reflection or orientation change compared to the standard coordinate system.
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