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Let T: R3→R3 be a L.T. and defined by T(a,b,c)=(a-b,b-c,c-a).Find the matrix with respect to basis (v1v2v3)where v1=(1,0,1),v2=(0,1,1),v3=(1,1,0) is this matrix invertible if so find inverse corresponding to formula for T-1.
Show that SɅR is in placed by PVR ,P→R and Q→S
which mathematical sign is to be put in the 4 and 5 so that the answer is more than 4 but less than 5.
15 people for lunch ,It is not allowed that any person to sit next to each other more than once,for how many days would that lunch go?
write the coordinate of point p (0,9)(0,5)(12,5)
let A=(5,10,15) and B=(3,5)
Define relation S and T from A to B as follows
1.for all (x,y)ϵ AхB xSy↔y│x(y divided x)
2.for all (x,y) ϵAxB xTy↔x+y ≥15
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A man standing at a point P on a flat plane starts walking. At eacj step, he walks exactly 1 foot in one of the directions N,S,E or W. Suppose that after 6 steps he comes back to P, then no. of disctinct paths he can take is ?
1. a basket contains 15 red balls and 10 white balls. a sample of five balls is selected. how many samples contain 3 red balls and 2 white balls. explain?
2. six students, A,B,C,D and Eare required to form a line for an inspection. in how many ways can this be D must be between F and C?. Explain
There are 12 micro phones 8 laser printers in an office. Find the minimum number of connections to be made which will guarantee that if 8 or fewer computers want to print at the same time, each of them will be able to use a different printer.
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