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construct a 2xx3 matrixA=[a_(i...

# construct a 2xx3 matrixA=[a_(ij)], whose elements are give by a_(ij)= ((3i+4j)/(2)) <br> where (.) denotes the least integer function.

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Updated On: 3-5-2021

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Text Solution

Solution :
since, a_(ij)={{:(2i)/(3j):}} "therefore" <br> a_(11) = {(2)/(3)} = (2)/(3), a_(12)={(2)/(6)} = {(1)/(3)} = (1)/(3), <br> a_(13) = {(2)/(9)} = (2)/(9), a_(21)={(4)/(3)} ={1+ (1)/(3)} = (1)/(3), <br> a_(22) = {(4)/(6)} = (2)/(3)and a_(23)={(4)/(9)} = = (4)/(9), <br> Hence , the required matrix is A = [{:((2)/(3),(1)/(3),(2)/(9)),((1)/(3),(2)/(3),(1)/(9)):}].

Transcript

TimeTranscript
00:00 - 00:59student Studies question is constructed across the matrix AI Je whose elements are given by x is equal to 3 + 4 chair by two coordinates Elite integer from these questions that start with the answer this question we are given a relation in AIG that says is equal to 3 ICAP + 4 j divided by 2 and half to constructor to cross 3 matrix ok so that is constructed to cross 3 matrix that is equal to its elements will be a 11 12 13 as it is to cross 3 second a218 22823 now this is this is a gas is I suggest one by one we will put the values of ING in the situation to get these elements that is start
01:00 - 01:5911 ise 13 into 1 + days also 14 into 1 / to so here we get 3 + 4 by to that is equal to 7 B so this is the value for a 11 so only for a 12 we will get 3 into 1 + 4 into 2 / 233 + 8 2011 by similarly for a 13 we have three into 1 + 2 into 3 / to which is equal to 3 + 12 by to that is equal to 3 by 2 now e21 will be equal to Chintu 2 + 4 into one divided by 2 is equal to 6 plus 4 by to
02:00 - 02:59give us 5822 equal to 3 into 2 + 4 into 2 / to that will give us 6 plus 8 by 2 is equal to 14 by 27 now A23 will be 2 into 3 + 4 in 233 into two plus 4 into 3 divided by 3 by 2 minus the elements of matrix A will become 7 by 511 by 215 by 2 every how 579 required answer thank you
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