Two matrices A and B are multiplied to get AB ifA.both are rectangularB.both have same orderC.no of columns of A is equal to columns of BD.no of rows of A is equal to no of columns of B
Question
Two matrices A and B are multiplied to get AB ifA.both are rectangularB.both have same orderC.no of columns of A is equal to columns of BD.no of rows of A is equal to no of columns of B
Solution
To multiply two matrices A and B to get AB, the following conditions must be met:
A. Both matrices A and B are rectangular. B. Both matrices A and B have the same order. C. The number of columns of matrix A is equal to the number of columns of matrix B. D. The number of rows of matrix A is equal to the number of columns of matrix B.
To multiply matrices A and B, follow these steps:
- Verify that both matrices A and B are rectangular, meaning they have rows and columns.
- Check that both matrices A and B have the same order, meaning they have the same number of rows and columns.
- Ensure that the number of columns of matrix A is equal to the number of columns of matrix B.
- Confirm that the number of rows of matrix A is equal to the number of columns of matrix B.
- If all the conditions are met, perform the matrix multiplication by multiplying the corresponding elements of each row of matrix A with the corresponding elements of each column of matrix B, and summing the products.
- Repeat this process for each row of matrix A and each column of matrix B, until all elements of the resulting matrix AB are calculated.
By following these steps and ensuring that the given conditions are met, you can successfully multiply matrices A and B to obtain matrix AB.
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