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The usual transformations on homogeneous coordinates for 2D computer graphics involve 3 × 3 matrices of the form
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Linear Algebra and Its Applications (5th Edition)
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- Can a matrix with zeros on the diagonal have an inverse? If so, find an example. If not, prove why not. For simplicity, assume a 22 matrix.arrow_forwardExplain what it means in terms of an inverse for a matrix to have a 0 determinant.arrow_forwardUse the standard matrix for counterclockwise rotation in R2 to rotate the triangle with vertices (3,5), (5,3) and (3,0) counterclockwise 90 about the origin. Graph the triangles.arrow_forward
- Can a matrix with an entire column of zeros have an inverse? Explain why or why not.arrow_forwardIn general, it is difficult to show that two matrices are similar. However, if two similar matrices are diagonalizable, the task becomes easier. In Exercises 38-41, show that A and B are similar by showing that they are similar to the same diagonal matrix. Then find an invertible matrix P such that .arrow_forward
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