To find:the dimensions of the given matrices and decide whether the product of the matrices is possible.
Answer to Problem 9OE
Dimension of first matrix
Dimension of second matrix
The product of given matrices ispossible.
Explanation of Solution
Given:
The matrices:
Concept Used:
If
Calculation:
Dimension of a matrix with m rows and n columns can be written as
Consider the given matrices.
Number of rows of the first matrix is 2 and number of columns is2.
Dimension of first matrix is
Number of rows of the second matrix is 2 and number of columns is 2.
Dimension of second matrix is
Note that here number of columns of first matrixis 2and the number of rows of 2nd matrix is2.
Thus, product of given matrices is possible.
Chapter 16 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
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