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Solving simultaneous equations

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Presentation on theme: "Solving simultaneous equations"— Presentation transcript:

1 Solving simultaneous equations
06/05/2019 Inverse of a Matrix Solving simultaneous equations

2 Finding the Inverse of a 2x2 matrix
06/05/2019 Finding the Inverse of a 2x2 matrix Step-1 First find what is called the Determinant a1b2-a2b1 Step-2 Then swap the elements in the leading diagonal Step-3 Then negate the other elements Step-4 Then multiply the Matrix by 1/determinant

3 Example Find Inverse of A
06/05/2019 Example Find Inverse of A Step 1 – Calc Determinant Determinant (ad-cb) = 4x3-8x1 = 4 Step 2 – Swap Elements on leading diagonal Step 3 – negate the other elements Step 4 – multiply by 1/determinant

4 Find the inverses and check them
06/05/2019 Find the inverses and check them inverse matrix

5 More inverses to find and check
06/05/2019 More inverses to find and check inverse matrix


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