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.
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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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