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Section 10.3 – The Inverse of a Matrix No Calculator.

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Presentation on theme: "Section 10.3 – The Inverse of a Matrix No Calculator."— Presentation transcript:

1 Section 10.3 – The Inverse of a Matrix No Calculator

2 The 2 x 2 Inverse Find the inverse of OR 1. Find det A a. If det A = 0, no inverse b. If, continue to 2. 2.Switch elements of main diagonal (blue elements) 3.Change signs of off diagonal (red elements)

3 Find the inverse of

4 Find the inverse of each of the following matrices: NO INVERSE 12 – 12 = 0

5 The 3 x 3 Inverse 1. Find the determinant of the matrix (given) a. If det A = 0, no inverse. b. If, continue to 2. 2. Find the values of the NINE minors. 3. Place +/- into the resulting matrix. (diamond) 4. “Transpose” the matrix (switch rows and columns) 5. Write final answer.

6 Find the inverse of A if Step 2 Step 1

7 Step 2 Answer: Step 3 Step 4 Step 5

8 Find the inverse of A if Complete Step 2 only. You need not show work.

9 Step 2 Answer Complete Steps 3, 4 and 5. Step 3Step 4 Step 5

10 Find the inverse of A if Complete Step 2 only. You need not show work.

11 Step 2 Answer Complete Steps 3, 4 and 5. Step 3Step 4 Step 5

12 Find the inverse of each of the following matrices:


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