Understanding Solving Matrix Equations
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Beginner
Start here! Easy to understand
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Beginner Explanation
For basic equations like A + X = B, solve by performing the inverse operation: subtract A from both sides to find X = B - A. This uses simple element-wise addition and subtraction.
Practice Problems
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1
Quick Quiz
Single Choice Quiz
Beginner
What is the result of adding matrices $\begin{bmatrix} 1 & 2 \\ 3 & 4 \end{bmatrix}$ and $\begin{bmatrix} 5 & 6 \\ 7 & 8 \end{bmatrix}$?
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2
Real-World Problem
Question Exercise
Intermediate
Teenager Scenario
You have matrices representing different aspects of a game. Solve $\begin{bmatrix} 3 & 4 \\ 2 & 1 \end{bmatrix} + \begin{bmatrix} 1 & 2 \\ 5 & 0 \end{bmatrix}$ to find out your total score.
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3
Thinking Challenge
Thinking Exercise
Intermediate
Think About This
Consider the matrix $\begin{bmatrix} x & 2 \\ 3 & 4 \end{bmatrix}$ and solve for $x$ if the matrix must equal $\begin{bmatrix} 5 & 2 \\ 3 & 4 \end{bmatrix}$.
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4
Challenge Quiz
Single Choice Quiz
Advanced
If $A = \begin{bmatrix} 2 & 0 \\ 1 & 3 \end{bmatrix}$ and $B = \begin{bmatrix} 1 & 4 \\ 2 & 2 \end{bmatrix}$, what is $2A + B$?
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