Question

If A is a matrix of order m x n and R is a row of A, then the order of R as a matrix is

Answer 1

Answer:

1 × n

Explanation:

In matrix notation m × n , m is number of rows and n is number of columns . If we just take a single row of matrix then m = 1 but number of columns will still be same . So order of R will be

1 × n .

Answer 2

Explanation:

Given that order of matrix A is m×n

Now if AB′ is defined then then number of column of A should be same as number of rows of B′, which is n

Also since B′ A is defined, so number column of B′ should be same as number of rows of A, which is m.

Thus order of B′ is n×m.

Hence, order of matrix B is m×n.

Note: Product of two matrix A and B, AB is defined only if number of columns of A is same as number of rows of B.

And B′ represents transpose of matrix B.