Practice Linear Algebra - 21 | 21. Linear Algebra | Mathematics (Civil Engineering -1)
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Linear Algebra

21 - Linear Algebra

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define what a system of linear equations is.

💡 Hint: Think about how different equations can intersect.

Question 2 Easy

What is an identity matrix?

💡 Hint: What happens when you multiply any matrix by it?

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is a system of linear equations?

Multiple equations with distinct variables
A single equation involving multiple variables
A set of equations involving the same variables

💡 Hint: Think about how equations can relate to each other.

Question 2

True or False: Eigenvalues can be zero.

True
False

💡 Hint: What does zero mean for a transformation?

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Consider the matrix A = [[4, 2], [1, 3]]. Determine if A is singular or non-singular.

💡 Hint: Focus on the determinant calculation!

Challenge 2 Hard

A system of equations is given: x + y + z = 6, 2x - y + 3z = 14, and -x + 4y - z = -2. Determine the values of x, y, and z.

💡 Hint: Try substituting back into one of the original equations for checking.

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