# Solution solution continued exercise 11 8 points

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Chapter 14 / Exercise 1
Calculus: Early Transcendental Functions
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Solution:
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Chapter 14 / Exercise 1
Calculus: Early Transcendental Functions
Edwards/Larson Expert Verified
Solution (continued):
Exercise 11 (8 points):Compute the determinant of the following matrix (show yourwork):A=1000012222103001034410305Solution:
Solution (continued):
Exercise 12 (12 points):Consider the following matrix:A=0111101111011110(1) Write down the characteristic polynomialfA(X). What are the real eigenvaluesofA, and their corresponding algebraic multiplicities?(2)Ais diagonalizable. Find a basis ofR4consisting of eigenvectors ofA.(3) Find an orthonormal basis ofR4consisting of eigenvectors ofA.(4) Use your answer to computeA7by diagonalizingA.Solution:
Solution (continued):
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