Q. 65.0( 2 Votes )

If possible, find

Answer :

We know that,

The number of rows and columns that a matrix has is called its order or its dimension. By convention, rows are listed first; and columns second.


Also,


Addition or subtraction of matrices is possible only if the matrices are of same order.


That is,


If A and B are two matrices and if they are needed to be added, then if order of A is m × n, order of B must be m × n.


We have matrices A and B, where




We know what order of matrix is,


If a matrix has M rows and N columns, the order of matrix is M × N.


In matrix A:


Number of rows = 2


M = 2


Number of column = 2


N = 2


Then, order of matrix A = M × N


Order of matrix A = 2 × 2


In matrix B:


Number of rows = 2


M = 2


Number of columns = 3


M = 3


Then, order of matrix B = M × N


order of matrix B = 2 × 3


Since,


Order of matrix A ≠ Order of matrix B


Matrices A and B cannot be added.


Thus, matrix A and matrix B cannot be added.


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