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Find a real matrix

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MATH 54 QUIZ 9-

1. Consider the matrix

2454_Figure.png

Use a change of basis to represent A as the composite of a rotation and scaling transformation. In other words, find a real matrix

1781_Figure1.png

and invertible real matrix P such that A = PCP -1.

2. Consider the vectors

2436_Figure2.png

in R3. Find all vectors in R3 that are simultaneously orthogonal to v1, v2, v3, v4 with respect to the dot product.

Reference no: EM131075545

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