| T K rupam vyakaaka 3 -51 B2. If A = So check that A2-5A - 14 I = 0 From IT A = fa.] And whose elements

If A =((3, -5),(-4, 2)) show that A^2 -5A - 14I = 0 .

If A = [[3,-5],[-4,2]] ,show that A^2 -5A-14I =0.

AB, A_2 and B_2 are diatomic molecules. If the bond enthalpies A_2 AB and B_2 are in the ratio 1:1:0.5 and the enthalpy of formation of AB fron A_2 and B_2 is -100 kJ mol^-1 , what is the bond enthalpy of A_2 :

If a = 2i + 2j + k, a.b = 14, a xx b = 3i + j - 8k then b =

If A A=[3-2 4-2] and I=[1 0 0 1] , find k so that A^2=k A-2I .

Let bi gt 1 for i = 1, 2, ...., 101 . Suppose log_e b_1, log_e b_2, ...., log_e b_101 are in Arithmetic Progression (A.P.) with the common difference log_e 2 . Suppose a_1, a_2, ....., a_101 are in A.P. such that a_1 = b_1 and a_51 = b_51 . If t = b_1 + b_2 + .... + b_51 and s = a_1 + a_2 + .... + a_51 , then .

Let A=[(2,0,7),(0,1,0),(1,-2,1)] and B=[(-k,14k,7k),(0,1,0),(k,-4k,-2k)] . If AB=I , where I is an identity matrix of order 3, then the sum of all elements of matrix B is equal to

Let A=[(2,0,7),(0,1,0),(1,-2,1)] and B=[(-k,14k,7k),(0,1,0),(k,-4k,-2k)] . If AB=I , where I is an identity matrix of order 3, then the sum of all elements of matrix B is equal to

A, B, and C are three elements which undergo chemical changes according to the following equations: (a) A_2 O_3 + 2B to B_2 O_3 + 2A (b) 3CSO_4 + 2B to B_2(SO_4)_3 + 3C '(c) '3CO + 2A to A_2 O_3 + 3C Name the most reactive and the least reactive element.