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Question

If A=[10234264] then fourth element of second column of AT =

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Solution

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⎥ ⎥ ⎥So fourth element of second column of this matrix is 4, which is the correct answer.


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