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Calculating Determinant for a 2x2 Matrix Video Lecture | Mathematics (Maths) Class 12 - JEE
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FAQs on Calculating Determinant for a 2x2 Matrix Video Lecture - Mathematics (Maths) Class 12 - JEE
| 1. What is the formula for calculating the determinant of a 2x2 matrix? |  |
| 2. How do I find the determinant of a 2x2 matrix with given values? | |
Ans. To find the determinant of a 2x2 matrix with given values, substitute the values in the formula:
determinant = (a * d) - (b * c), where a, b, c, and d are the values of the matrix.
| 3. Can the determinant of a 2x2 matrix be negative? | |
Ans. Yes, the determinant of a 2x2 matrix can be negative. The sign of the determinant indicates the orientation of the matrix. A negative determinant implies a reflection or flip of the matrix.
| 4. How is the determinant related to the invertibility of a 2x2 matrix? | |
Ans. The invertibility of a 2x2 matrix depends on its determinant. If the determinant is non-zero, the matrix is invertible, meaning it has an inverse. However, if the determinant is zero, the matrix is singular and does not have an inverse.
| 5. What is the significance of the determinant in solving systems of linear equations using matrices? | |
Ans. The determinant plays a crucial role in solving systems of linear equations using matrices. If the determinant of the coefficient matrix is non-zero, the system has a unique solution. If the determinant is zero, it implies either infinitely many solutions or no solutions, depending on the consistency of the system.
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