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PART III: Digging Deeper 1. Represent the character using a π × π matrix by adding a third row with all 1’s to matrix S from #1. Call it matrix R. 2. Compute each matrix product below and again graph the resulting figure. Use the row of 1’s for your calculation, but ignore it when you graph. Write out the products and then write a sentence describing how the image was transformed. π (a) [π π π (b) [π π π π π π π π π π] πΉ = π π −π] πΉ = π π (c) [π π π π π π −π] πΉ = π π (d) [π π π π π π π] πΉ = π 3. Why do you think the third row and column were necessary in order to obtain translations as a result of matrix multiplication?