Linear Algebra Answers

5 pencils and 7 pens together cost Rs.195. While 7 pencils and 5 pens together cost Rs. 153. Find the cost of each pencil and the pen.

find the value of x in the following questions
4x=12
3x+16=37

the multiplicative inverse of -3/16 is?

a+b+37 = 6, 2a+2b-32 = 9, a+2b-62= -4

To raise funds for its community activities, a Lions club is negotiating with int. carnivals to bring its midway to town for a 3 day opening. The event will be on a shopping Center lot which is to receive 10% of the gross revenue. The lions club will sell the tickets on site. Int. carnivals requires either $15000 plus 30% of revenue or $10000 plus 50% of revenue. Other towns had an average of $10 spent per customer. A) what is the break even attendance under each basis for remunerating int. carnivals? B) for each alternative, what will be the Colin's profit or loss if the attendance is I)3000 or ii) 2200?
C) how would you briefly explain the advantages and disadvantages of the two alternatives to a club member?

Please show that, if x is a cluster point of {x^k}, and if d(x,x^k) >= d(x,x^(k+1)), for all k, then x is the limit of the sequence.

Please show that, if {s^k} is bounded, then, for any element c in the metric space, there is a constant t>0 with d(c,s^k)<=t, for all k.

Please show that any convergent sequence in a metric space is bounded, then find a bounded sequence of real numbers that is not convergent.

write the matrix A[3,-1,1,-2]as a linear combination of A1=[1,1,0,-1],A2=[1,1,-1,0]and A3=[1,-1,0,0]

A boy was born on his father's 30th birthday. The sum of their ages is now 40 years. How old is the boy?