A) \[1\times 2\]
B) \[5\times 1\]
C) \[3\times 5\]
D) \[5\times 3\]
Correct Answer: D
Solution :
Given, \[[5\,\,\,6\,\,\,2].\,\,{{A}^{T}}=[4\,\,8\,\,\,1\,\,\,7\,\,\,8]\] Here, order \[(1\times 3).\,(3\times 5)\] must for \[[5\,\,\,6\,\,\,\,2].\,\,{{A}^{T}}\] because for matrix multiplication the column of 1st matrix should be same as row of the second matrix, but the resultant matrix of order \[1\times 5,\] that why the number of columns of II nd matrix should be 5. So, order of \[{{A}^{T}}=3\times 5\] \[\Rightarrow \] Order of \[A=5\times 3\]
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