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Mathematics Part I - Determinants Quiz

Class XII
Mathematics
Determinants
12 questions
HARD

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Preview questions

1. What is the determinant of a 2x2 matrix A = [[a, b], [c, d]]?

ad - bc · ab + cd · ac - bd · ad + bc

2. Which property of determinants states that swapping two rows changes the sign of the determinant?

Multiplicative Property · Row Swap Property · Column Swap Property · Determinant of a Product

3. If a matrix A has a row of zeros, what is the value of its determinant?

1 · 0 · Undefined · Infinity

4. What is the determinant of the identity matrix of order n?

0 · 1 · n · n!

5. For a 3x3 matrix, which method is commonly used to calculate the determinant?

Row Reduction · Cofactor Expansion · Diagonal Method · Adjoint Method