Page 155 - Schaum's Outline of Differential Equations
P. 155
138 MATRICES [CHAP. 15
Supplementary Problems
In Problems 15.18 through 15.38, let
15.18. FindA + B.
15.19. Find3A-2B.
15.20. FindC-D.
15.21. Find2C + 5D.
15.22. FindA + D.
15.23. Findx-3y.
15.24. Find (a) AB and (b) BA.
15.25. Find A . 2
7
15.26. Find A .
2
15.27. FindB .
15.28. Find (a) CD and (b) DC.
15.29. Find (a) Ax and (b) xA.
15.30. Find AC.
15.31. Find(C + D)y.
15.32. Find the characteristic equation and eigenvalues of A.
15.33. Find the characteristic equation and eigenvalues of B.
15.34. Find the characteristic equation and eigenvalues of A + B.
15.35. Find the characteristic equation and eigenvalues of 3A.
15.36. Find the characteristic equation and eigenvalues of A + 51.
15.37. Find the characteristic equation and the eigenvalues of C. Determine the multiplicity of each eigenvalue.
