If A=[10234264], then fourth element of second column of AT =
To obtain transpose of a matrix we need to convert all its rows into columns or all its columns into rows.
Given matrix is A=[10234264]
Let’s convert all its rows into columns. It has two rows. So transpose will have two columns because columns of new matrix are nothing but rows of original matrix.
So column 1 of transpose = Row 1 of A
= 1
0
2
3
Similarly column 2 = 4
2
6
4
So AT=⎡⎢
⎢
⎢⎣14022634⎤⎥
⎥
⎥⎦
Thus, fourth element of second column of this matrix is 4, which is the correct answer.