21.3 - Matrix Operations
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Practice Questions
Test your understanding with targeted questions
If A = [[2, 4], [6, 8]] and B = [[1, 3], [5, 7]], what is A + B?
💡 Hint: Add corresponding elements in the matrices.
What is the result of performing A - B given A = [[5, 1]] and B = [[2, 4]]?
💡 Hint: Subtract the elements of B from A.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What must be true for matrices A and B to be added?
💡 Hint: Think about the definition of matrix addition.
True or False: Matrix multiplication is commutative.
💡 Hint: Recall our discussion on matrix multiplication.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
Given matrices A = [[2, 3], [1, 4]] and B = [[6, 5], [7, 2]], calculate A*B. Show all steps of your work.
💡 Hint: Follow matrix multiplication rules carefully.
Prove that if matrix A has a determinant of zero, then it is singular. Provide a detailed explanation.
💡 Hint: Reflect on the relationship between determinants and matrix invertibility.
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