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Determinant of a Matrix

Master determinant of a matrix with interactive lessons and practice problems! Designed for students like you!

Understanding Determinant of a Matrix

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Video explanation of this concept

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Beginner

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Beginner Explanation

The determinant of a 2x2 matrix $\begin{pmatrix} a & b \\ c & d \end{pmatrix}$ is found using $ad - bc$.
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Practice Problems

Test your understanding with practice problems

1

Quick Quiz

Single Choice Quiz
Beginner

Calculate the determinant of $\begin{pmatrix} 3 & 2 \\ 1 & 4 \end{pmatrix}$.

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2

Real-World Problem

Question Exercise
Intermediate

Teenager Scenario

You are planning a school project that involves solving the following system of equations: 2x + y = 3; 3x + 4y = 5. Determine if the system has a unique solution by calculating the determinant of the coefficient matrix.
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3

Thinking Challenge

Thinking Exercise
Intermediate

Think About This

Explain why a zero determinant indicates no unique solution for a system of linear equations.

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4

Challenge Quiz

Single Choice Quiz
Advanced

Given a matrix $\begin{pmatrix} x & 3 \\ 2 & 5 \end{pmatrix}$, for what value of $x$ is the determinant zero?

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Recap

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Review key concepts and takeaways

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