If a matrix A is 3x2, what is the order of its transpose A^T? a. 3x2 b. 2x2 c. 2x3 d. 3x3
Question
If a matrix A is 3x2, what is the order of its transpose A^T?
a. 3x2
b. 2x2
c. 2x3
d. 3x3
Solution
The transpose of a matrix is obtained by interchanging its rows into columns (or vice versa). So, if a matrix A is of order 3x2 (3 rows and 2 columns), its transpose A^T will be of order 2x3 (2 rows and 3 columns). Therefore, the correct answer is:
c. 2x3
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