Question

1. Given the matrices A = [ ]B=L; 2) and the vector x = [] find A++ Bx 2. Find the eigenvalues and eigenvectors of the matrix A =

#1

Answer 1

O A=[35] 141= 1 2 3 1 2 10-12 = -2 obA=[3 ) a - 20-12 -2t6 10- 24 7 -6+12 ABX = { [6 560.84 1-42 36 = +[-28]

2. A=( 3 - 1 charactarctic equation is 6-7 -31 -6 91 le (6-1) (9-7) - 18-0 he 54-97-6x +1 1850 ve 7-15h.st 3650 the f_127-34+36=0 le X(t-12) - 3 (4- 12) = 0 td (1-12 (1-3 = 0 led-3,12 eigen value is 3,12 g sosten for eigen value = 3 ; Let ma (a) see eigen verton. An= An F 6-87 -6 91 6x - 32 = 3r, le 34 432 = 0 ; x with 20 -60 the Brite il A rt - thy+6 =0 04- 20 The Solution of the system is k (11) KER The eigen vector are k(1) Where is non-zero 97 real number

eigen vector corresponding to 12 be an Then', AX=XX 624382=12%, - 634 - 31=0 204+2=0 and – og at 9 u2212222 – 634 - 312 20 22y +420, is The Solution of the system is k(!) k mon-zeno real number
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