3.For a matrix A, if a matrix B is obtained by changing its rows into columns and column into rows, then
relation between A and B is?
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SOLUTION
GIVEN
For a matrix A, if a matrix B is obtained by changing its rows into columns and column into rows,
TO DETERMINE
The relation between A and B
EVALUATION
We know that the matrix obtained from any given matrix A , by interchanging rows and columns is called transpose of A and it is denoted by A'
Here it is given that for a matrix A, if a matrix B is obtained by changing its rows into columns and column into rows
Thus B = A'
So B is transpose of A
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