Practice Inverse of a Matrix - 21.4 | 21. Linear Algebra | Mathematics (Civil Engineering -1)
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Inverse of a Matrix

21.4 - Inverse of a Matrix

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define the term 'matrix inverse.'

💡 Hint: Think about how two matrices interact when multiplied.

Question 2 Easy

What must be true for a matrix to have an inverse?

💡 Hint: Recall what the determinant indicates about the matrix.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the main property of the matrix inverse?

AA⁻¹ = I
A + A⁻¹ = I
A⁻¹ A = 0

💡 Hint: Look for equations that yield the identity matrix.

Question 2

True or False: A singular matrix has an inverse.

True
False

💡 Hint: Reflect on determinant properties.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given the following matrix, find the inverse using the adjoint method: A = [[4, 7], [2, 6]].

💡 Hint: Remember the formula involving determinant and adjoint.

Challenge 2 Hard

Use the Gauss-Jordan method to find the inverse of the matrix B = [[3, 2], [1, 1]]. Show the step-by-step transformation.

💡 Hint: Focus on making the left side the identity matrix.

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