Math Problem Statement

Use technology to find the inverse of the given matrix (when it exists). Round all entries in your answer to two decimal places. (Caution: Because of rounding errors, technology sometimes produces an "inverse" of a singular matrix. These often can be recognized by their huge entries. If the inverse doesn't exist, enter DNE in any cell of the matrix.)

3.57 1.26

−1.03 0

Solution

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Math Problem Analysis

Mathematical Concepts

Linear Algebra
Matrix Inversion
Determinants

Formulas

A^-1 = 1 / (ad - bc) * [[d, -b], [-c, a]] (for a 2x2 matrix)
Determinant of a 2x2 matrix: det(A) = ad - bc

Theorems

Inverse Matrix Theorem
Determinant Rule for Inverses

Suitable Grade Level

Undergraduate or Advanced High School (Grades 11-12)