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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Calculate the determinant of the matrix [[2, 3], [1, 4]].
💡 Hint: Use the formula: ad - bc for a 2x2 matrix.
Question 2
Easy
Is the matrix [[0, 0], [0, 0]] singular or non-singular?
💡 Hint: Check if the determinant is zero.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What is the determinant of a matrix A = [[1, 2], [3, 4]]?
- -2
- 0
- 2
💡 Hint: Use the formula for a 2x2 matrix.
Question 2
True or False: If det(A) = 0, then A is invertible.
- True
- False
💡 Hint: Think about the meaning of a singular matrix.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a 3x3 matrix A where A = [[2, -1, 3], [1, 0, 4], [0, 1, 5]], compute the determinant and interpret its significance.
💡 Hint: Use the cofactor expansion method for 3x3 matrices.
Question 2
Consider two matrices A and B where det(A) = 6 and det(B) = 2. What is the determinant of the inverse of matrix A and the product of A and B?
💡 Hint: Review properties of determinants for inverses and products.
Challenge and get performance evaluation