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Given a matrix A of size 2m × m, with m > 12, Prof. Vinod asks his
students if in the matrix R(= rij), got through QR decomposition of A,
whether r22 > 0. One student Raj says yes but another student Vinay says
no. Who is right and why? In case the question does not have enough data
to answer, point out the missing things.

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Step-by-step explanation:

3. In a competition, a school awarded medals in different categories. 36 medals in dance, 12 medals in dramatics and 18 medals in music. If these medals went to a total of 45 persons and only 4 persons got medals in all the three categories, how many received medals in exactly two of these categories?

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