Let A be a
- What, if anything, can you conclude about the nature of the eigenvalues of B? Explain. What words best describe the type of matrix thatB is?
- What, if anything, can you conclude about the nature of the eigenvalues of C? Explain. What words best describe the type of matrix that C is?
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- CAPSTONE Explain how to determine whether an nn matrix A is diagonalizable using a similar matrices, b eigenvectors, and c distinct eigenvalues.arrow_forwardConsider again the matrix A in Exercise 35. Give conditions on a, b, c, and d such that A has two distinct real eigenvalues, one real eigenvalue, and no real eigenvalues.arrow_forwarda Find a symmetric matrix B such that B2=A for A=[2112] b Generalize the result of part a by proving that if A is an nn symmetric matrix with positive eigenvalues, then there exists a symmetric matrix B such that B2=A.arrow_forward
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