Solving Systems using Matrices

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Solving Systems using Matrices
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Matrix Equation
A linear system can be written as a matrix
equation AXB
Constant matrix
Coefficient matrix
Variable matrix
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Solving Matrix Equations
Suppose AX B How do you solve for X?
A-1
AX B
A-1
We cannot divide matrices, but we can multiply by
the inverse.
IX A-1B
X A-1B
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Example 1

• Solve the following system using matrices

• Steps
• Write as a matrix
• Multiply both sides by the inverse matrix

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Example 2

• Solve the following system using matrices

(5/7, 2)
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Clocks
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Work Time on Project