The product of the matrices is an identity matrix. Then Both the matrices are multiplicative inverse to each other.
What is the matrix?
A matrix is a specific arrangement of items, particularly numbers. A matrix is a row-and-column mathematical structure. The a_{ij} element in a matrix, such as M, refers to the i-th row and j-th column element.
The matrices are given below.
[tex]\left[\begin{array}{ccc}-3&7\\-2&5\end{array}\right] \ and \ \left[\begin{array}{ccc}-5&7\\-2&3\end{array}\right][/tex]
Then show that both the matrices are multiplicative inverse to each other.
If the product of the matrices is an identity matrix then the matrices are multiplicative inverse to each other.
Then we have
[tex]\left[\begin{array}{ccc}-3&7\\-2&5\end{array}\right] \left[\begin{array}{ccc}-5&7\\-2&3\end{array}\right] = \left[\begin{array}{ccc}1&0\\0&1\end{array}\right][/tex]
Then both the matrices are multiplicative inverse to each other.
More about the matrix link is given below.
https://brainly.com/question/9967572
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