21.4.2 - Conditions
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Practice Questions
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Define what it means for a matrix to be non-singular.
💡 Hint: Think about how the determinant relates to the matrix's invertibility.
What is the relationship between a matrix and its inverse?
💡 Hint: Consider what happens when you multiply the inverse with the original matrix.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What must be true for a matrix to have an inverse?
💡 Hint: Recall the definition of singular matrices.
True or False: A singular matrix cannot have an inverse.
💡 Hint: Think about how determinants affect inversibility.
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Challenge Problems
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Determine if the following matrix is invertible: A = [[4, 2], [2, 1]]. Justify your answer with calculations.
💡 Hint: Calculate the determinant!
If B = [[1, 3], [3, 7]], what can you say about its inverse and detail how you would find it?
💡 Hint: Recall how to calculate the determinant and apply the inverse formula.
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