To find: The dimensions of the required matrix.
The dimensions of the other matrix is
Given information:
Given,the product of two matrices has dimensions
Calculation:
Two matrices can be multiplied when the number of columns of the first matrix is equal to number of rows of second matrix.
i.e., if X is a
Here the rows of the resultant matrix is same as rows of one of the given matrices. Hence, given matrix is the first matrix which can be represented as
The multiplication is possible only if the columns of the first matrix is same as rows of second matrix. And the columns of the resultant matrix is same as columns of the second matrix.
Hence,
The dimensions of the other matrix is
Conclusion:
The dimensions of the other matrix is
Chapter 12 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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