21.3.6 - Properties
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Practice Questions
Test your understanding with targeted questions
What is required for two matrices to be added together?
💡 Hint: Consider how the structure of matrices is defined.
What happens to each element of a matrix during scalar multiplication?
💡 Hint: Think about the concept of scaling.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What operation can only be performed on matrices of the same dimension?
💡 Hint: Consider how matrices are structured.
True or False: The determinant of a matrix can help determine if it's invertible.
💡 Hint: Think about the relationship between determinant value and invertibility.
1 more question available
Challenge Problems
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If A is a 3x3 matrix with det(A) = 6, and B is a 3x3 matrix with det(B) = 2, calculate the determinant of AB and check if it is singular.
💡 Hint: Use the property of determinants for the product of matrices.
Consider matrix C = [[2, -1], [4, 3]]. Determine whether it's singular or non-singular and explain why.
💡 Hint: Recall how to calculate the determinant for a 2x2 matrix.
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